M. Hua, M. J. Tao, A. Alsaedi, T. Hayat, and F. G. Deng, “Universal distributed quantum computing on superconducting qutrits with dark photons,” Ann. Phys. (Berlin) 530, 1700402 (2018).

[Crossref]

J. Zhou, B. J. Liu, Z. P. Hong, and Z. Y. Xue, “Fast holonomic quantum computation based on solid-state spins with all-optical control,” Sci. China: Phys., Mech. Astron. 61, 010312 (2018).

T. Li, J. C. Gao, F. G. Deng, and G. L. Long, “High-fidelity quantum gates on quantum-dot-confined electron spins in low-Q optical microcavities,” Ann. Phys. 391, 150–160 (2018).

[Crossref]

T. Liu, B. Q. Guo, C. S. Yu, and W. N. Zhang, “One-step implementation of a hybrid Fredkin gate with quantum memories and single superconducting qubit in circuit QED and its applications,” Opt. Express 26, 4498–4511 (2018).

[Crossref]
[PubMed]

G. Y. Wang, T. Li, Q. Ai, and F. G. Deng, “self-error-corrected hyperparallel photonic quantum computation working with both the polarization and the spatial-mode degrees of freedom,” Opt. Express 26, 23333–23346 (2018).

[Crossref]
[PubMed]

B. C. Ren and F. G. Deng, “Robust hyperparallel photonic quantum entangling gate with cavity QED,” Opt. Express 25, 10863–10873 (2017).

[Crossref]
[PubMed]

X. Han, Q. Guo, A. D. Zhu, S. Zhang, and H. F. Wang, “Effective W-state fusion strategies in nitrogen-vacancy centers via coupling to microtoroidal resonators,” Opt. Express 25, 17701–17712 (2017).

[Crossref]
[PubMed]

W. Qin, X. Wang, A. Miranowicz, Z. Zhong, and F. Nori, “Heralded quantum controlled-phase gates with dissipative dynamics in macroscopically distant resonators,” Phys. Rev. A 96, 012315 (2017).

[Crossref]

L. Zhou and Y. B. Sheng, “Distributed secure quantum machine learning,” Sci. Bull. 62, 1025–1029 (2017).

[Crossref]

F. G. Deng, B. C. Ren, and X. H. Li, “Quantum hyperentanglement and its applications in quantum information processing,” Sci. Bull. 62, 46–68 (2017).

[Crossref]

L. Zhou and Y. B. Sheng, “Polarization entanglement purification for concatenated Greenberger-Horne-Zeilinger state,” Ann. Phys. 385, 10–35 (2017).

[Crossref]

G. Y. Wang, Q. Liu, and F. G. Deng, “Hyperentanglement purification for two-photon six-qubit quantum systems,” Phys. Rev. A 94, 032319 (2016).

[Crossref]

X. K. Song, Q. Ai, J. Qiu, and F. G. Deng, “Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics,” Phys. Rev. A 93, 052324 (2016).

[Crossref]

X. K. Song, Hao Zhang, Q. Ai, J. Qiu, and F. G. Deng, “Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm,” New J. Phys. 18, 023001 (2016).

[Crossref]

T. Li and F. G. Deng, “Error-rejecting quantum computing with solid-state spins assisted by low-Q optical microcavities,” Phys. Rev. A 94, 062310 (2016).

[Crossref]

T. Li and G. L. Long, “Hyperparallel optical quantum computation assisted by atomic ensembles embedded in double-sided optical cavities,” Phys. Rev. A 94, 022343 (2016).

[Crossref]

L. Y. He, T. J. Wang, and C. Wang, “Construction of high-dimensional universal quantum logic gates using a Λ system coupled with a whispering-gallery-mode microresonator,” Opt. Express 24, 15429–15445 (2016).

[Crossref]
[PubMed]

H. R. Wei, F. G. Deng, and G. L. Long, “Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities,” Opt. Express 24, 18619–18630 (2016).

[Crossref]
[PubMed]

G. Y. Wang, Q. Ai, B. C. Ren, T. Li, and F. G. Deng, “Error-detected generation and complete analysis of hyperentangled Bell states for photons assisted by quantum-dot spins in double-sided optical microcavities,” Opt. Express 24, 28444–28458 (2016).

[Crossref]
[PubMed]

J. Borregaard, P. Komar, E. M. Kessler, A. S. Sørensen, and M. D. Lukin, “Heralded quantum gates with integrated error detection in optical cavities,” Phys. Rev. Lett. 114, 110502 (2015).

[Crossref]
[PubMed]

H. R. Wei and G. L. Long, “Universal photonic quantum gates assisted by ancilla diamond nitrogen-vacancy centers coupled to resonators,” Phys. Rev. A 91, 032324 (2015).

[Crossref]

B. C. Ren, G. Y. Wang, and F. G. Deng, “Universal hyperparallel hybrid photonic quantum gates with the dipole induced transparency in weak-coupling regime,” Phys. Rev. A 91, 032328 (2015).

[Crossref]

Q. Liu and M. Zhang, “Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators,” Phys. Rev. A 91, 062321 (2015).

[Crossref]

M. J. Tao, M. Hua, Q. Ai, and F. G. Deng, “Quantum-information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED,” Phys. Rev. A 91, 062325 (2015).

[Crossref]

Y. B. Sheng, J. Pan, R. Guo, L. Zhou, and L. Wang, “Efficient N-particle W state concentration with different parity check gates,” Sci. China: Phys., Mech. Astron. 58, 060301 (2015).

L. Zhou and Y. B. Sheng, “Complete logic Bell-state analysis assisted with photonic Faraday rotation,” Phys. Rev. A, 92, 042314 (2015).

[Crossref]

L. Zhou and Y. B. Sheng, “Detection of nonlocal atomic entanglement assisted by single photons,” Phys. Rev. A 90, 024301 (2014).

[Crossref]

J. D. Pritchard, J. A. Isaacs, M. A. Beck, R. McDermott, and M. Saffman, “Hybrid atom-photon quantum gate in a superconducting microwave resonator,” Phys. Rev. A 89, 010301 (2014).

[Crossref]

T. J. Wang and C. Wang, “Universal hybrid three-qubit quantum gates assisted by a nitrogen-vacancy center coupled with a whispering-gallery-mode microresonator,” Phys. Rev. A 90, 052310 (2014).

[Crossref]

B. C. Ren and F. G. Deng, “Hyper-parallel photonic quantum computing with coupled quantum dots,” Sci. Rep. 4, 4623 (2014).

[Crossref]

H. R. Wei and F. G. Deng, “Universal quantum gates on electron-spin qubits with quantum dots inside single-side optical microcavities,” Opt. Express 22, 593–607 (2014).

[Crossref]
[PubMed]

H. R. Wei and F. G. Deng, “Scalable photonic quantum computing assisted by quantum-dot spin in double-sided optical microcavity,” Opt. Express 21, 17671–17685 (2013).

[Crossref]
[PubMed]

C. Wang, Y. Zhang, R. Z. Jiao, and G. S. Jin, “Universal quantum controlled phase gate on photonic qubits based on nitrogen vacancy centers and microcavity resonators,” Opt. Express 21, 19252–19260 (2013).

[Crossref]
[PubMed]

H. R. Wei and F. G. Deng, “Compact quantum gates on electron-spin qubits assisted by diamond nitrogen-vacancy centers inside cavities,” Phys. Rev. A 88, 042323 (2013).

[Crossref]

H. R. Wei and F. G. Deng, “Universal quantum gates for hybrid systems assisted by quantum dots inside double-sided optical microcavities,” Phys. Rev. A 87, 022305 (2013).

[Crossref]

B. C. Ren, H. R. Wei, and F.G. Deng, “Deterministic photonic spatial-polarization hyper-controlled-not gate assisted by quantum dot inside one-side optical microcavity,” Laser Phys. Lett. 10, 095202 (2013).

[Crossref]

G. R. Feng, G. F. Xu, and G. L. Long, “Experimental realization of nonadiabatic Holonomic quantum computation,” Phys. Rev. Lett. 110, 190501 (2013).

[Crossref]
[PubMed]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

J. H. Shim, I. Niemeyer, J. Zhang, and D. Suter, “Room-temperature high-speed nuclear-spin quantum memory in diamond,” Phys. Rev. A 87, 012301 (2013).

[Crossref]

P. F. Wang, C. Y. Ju, F. Z. Shi, and J. F. Du, “Optimizing ultrasensitive single electron magnetometer based on nitrogen-vacancy center in diamond,” Chin. Sci. Bull. 58, 2920–2923 (2013).

B. C. Ren and F. G. Deng, “Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities,” Laser Phys. Lett. 10, 115201 (2013).

[Crossref]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff, “Implementation of a Toffoli gate with superconducting circuits,” Nature 481, 170–172 (2012).

[Crossref]

Y. Li, L. Aolita, D. E. Chang, and L. C. Kwek, “Robust-fidelity atom-photon entangling gates in the weak-coupling regime,” Phys. Rev. Lett. 109, 160504 (2012).

[Crossref]
[PubMed]

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).

[Crossref]
[PubMed]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107, 153001 (2011).

[Crossref]
[PubMed]

G. D. Fuchs, G. Burkard, P. V. Klimov, and D. D. Awschalom, “A quantum memory intrinsic to single nitrogen-vacancy centres in diamond,” Nat. Phys. 7, 789–793 (2011).

[Crossref]

L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, “High-fidelity projective read-out of a solid-state spin quantum register,” Nature 477, 574–578 (2011).

[Crossref]
[PubMed]

Q. Chen, W. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).

[Crossref]

B. B. Buckley, G. D. Fuchs, L. C. Bassett, and D. D. Awschalom, “Spin-light coherence for single-spin measurement and control in diamond,” Science 330, 1212–1215 (2010).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

C. Y. Hu, W. J. Munro, J. L. O’Brien, and J. G. Rarity, “Proposed entanglement beam splitter using a quantum-dot spin in a double-sided optical microcavity,” Phys. Rev. B 80, 205326 (2009).

[Crossref]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

G. D. Fuchs, V. V. Dobrovitski, D. M. Toyli, F. J. Heremans, and D. D. Awschalom, “Gigahertz dynamics of a strongly driven single quantum spin,” Science 326, 1520–1522 (2009).

[Crossref]
[PubMed]

P. E. Barclay, K. M. C. Fu, C. Santori, and R. G. Beausoleil, “Chip-based microcavities coupled to nitrogen-vacancy centers in single crystal diamond,” Appl. Phys. Lett. 95, 191115 (2009).

[Crossref]

J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities,” Phys. Rev. A 79, 032303 (2009).

[Crossref]

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: Applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).

[Crossref]

Y. Liu, G. L. Long, and Y. Sun, “Analytic one-bit and CNOT gate constructions of general n-qubit controlled gates,” Int. J. Quant. Inform. 6, 447–462 (2008).

[Crossref]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

M. Wallquist, V. S. Shumeiko, and G. Wendin, “Selective coupling of superconducting charge qubits mediated by a tunable stripline cavity,” Phys. Rev. B 74, 224506 (2006).

[Crossref]

N. B. Manson, J. P. Harrison, and M. J. Sellars, “Nitrogen-vacancy center in diamond: Model of the electronic structure and associated dynamics,” Phys. Rev. B 74, 104303 (2006).

[Crossref]

L. M. Liang and C. Z. Li, “Realization of quantum SWAP gate between flying and stationary qubits,” Phys. Rev. A 72, 024303 (2005).

[Crossref]

I. Friedler, D. Petrosyan, M. Fleischhauer, and G. Kurizki, “Long-range interactions and entanglement of slow single-photon pulses,” Phys. Rev. A 72, 043803 (2005).

[Crossref]

K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004).

[Crossref]

L. M. Duan and H. J. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004).

[Crossref]
[PubMed]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).

[Crossref]
[PubMed]

G. Vidal and C. M. Dawson, “Universal quantum circuit for two-qubit transformations with three controlled-NOT gates,” Phys. Rev. A 69, 010301 (2004).

[Crossref]

F. Vatan and C. Williams, “Optimal quantum circuits for general two-qubit gates,” Phys. Rev. A 69, 032315 (2004).

[Crossref]

J. Zhang, J. Vala, S. Sastry, and K. B. Whaley, “Optimal quantum circuit synthesis from controlled-unitary gates,” Phys. Rev. A 69, 042309 (2004).

[Crossref]

V. V. Shende, I. L. Markov, and S. S. Bullock, “Minimal universal two-qubit controlled-NOT-based circuits,” Phys. Rev. A 69, 062321 (2004).

[Crossref]

V. V. Shende, S. S. Bullock, and I. L. Markov, “Recognizing small-circuit structure in two-qubit operators,” Phys. Rev. A 70, 012310 (2004).

[Crossref]

Y. Y. Shi, “Both Toffoli and controlled-NOT need little help to universal quantum computing,” Quantum Inf. Comput. 3, 84–92 (2003).

A. O. Niskanen, J. J. Vartiainen, and M. M. Salomaa, “Optimal multiqubit operations for Josephson charge qubits,” Phys. Rev. Lett. 90, 197901 (2003).

[Crossref]
[PubMed]

E. Dennis, “Toward fault-tolerant quantum computation without concatenation,” Phys. Rev. A 63, 052314 (2001).

[Crossref]

G. L. Long, “Grover algorithm with zero theoretical failure rate,” Phys. Rev. A 64, 022307 (2001).

[Crossref]

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).

[Crossref]
[PubMed]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, “Bulk quantum computation with nuclear magnetic resonance: theory and experiment,” Proc. R. Soc. Lond. A 454, 447–467 (1998).

[Crossref]

P. W. Shor, “Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,” SIAM J. Sci. Stat. Comput. 26, 1484–1509 (1997).

[Crossref]

L. K. Grover, “Quantum mechanics helps in searching for a needle in a haystack,” Phys. Rev. Lett. 79, 325 (1997).

[Crossref]

A. Lenef and S. C. Rand, “Electronic structure of the N-V center in diamond: Theory,” Phys. Rev. B 53, 13441–13455 (1996).

[Crossref]

J. A. Smolin and D. P. DiVincenzo, “Five two-bit quantum gates are sufficient to implement the quantum Fredkin gate,” Phys. Rev. A 53, 2855 (1996).

[Crossref]
[PubMed]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

T. Sleator and H. Weinfurter, “Realizable universal quantum logic gate,” Phys. Rev. Lett. 74, 4087 (1995).

[Crossref]
[PubMed]

Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710 (1995).

[Crossref]
[PubMed]

E. Fredkin and T. Toffoli, “Conservative logic,” Int. J. Theor. Phys. 21, 219–253 (1982).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

G. Y. Wang, T. Li, Q. Ai, and F. G. Deng, “self-error-corrected hyperparallel photonic quantum computation working with both the polarization and the spatial-mode degrees of freedom,” Opt. Express 26, 23333–23346 (2018).

[Crossref]
[PubMed]

G. Y. Wang, Q. Ai, B. C. Ren, T. Li, and F. G. Deng, “Error-detected generation and complete analysis of hyperentangled Bell states for photons assisted by quantum-dot spins in double-sided optical microcavities,” Opt. Express 24, 28444–28458 (2016).

[Crossref]
[PubMed]

X. K. Song, Q. Ai, J. Qiu, and F. G. Deng, “Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics,” Phys. Rev. A 93, 052324 (2016).

[Crossref]

X. K. Song, Hao Zhang, Q. Ai, J. Qiu, and F. G. Deng, “Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm,” New J. Phys. 18, 023001 (2016).

[Crossref]

M. J. Tao, M. Hua, Q. Ai, and F. G. Deng, “Quantum-information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED,” Phys. Rev. A 91, 062325 (2015).

[Crossref]

L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, “High-fidelity projective read-out of a solid-state spin quantum register,” Nature 477, 574–578 (2011).

[Crossref]
[PubMed]

M. Hua, M. J. Tao, A. Alsaedi, T. Hayat, and F. G. Deng, “Universal distributed quantum computing on superconducting qutrits with dark photons,” Ann. Phys. (Berlin) 530, 1700402 (2018).

[Crossref]

J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities,” Phys. Rev. A 79, 032303 (2009).

[Crossref]

Y. Li, L. Aolita, D. E. Chang, and L. C. Kwek, “Robust-fidelity atom-photon entangling gates in the weak-coupling regime,” Phys. Rev. Lett. 109, 160504 (2012).

[Crossref]
[PubMed]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107, 153001 (2011).

[Crossref]
[PubMed]

G. D. Fuchs, G. Burkard, P. V. Klimov, and D. D. Awschalom, “A quantum memory intrinsic to single nitrogen-vacancy centres in diamond,” Nat. Phys. 7, 789–793 (2011).

[Crossref]

B. B. Buckley, G. D. Fuchs, L. C. Bassett, and D. D. Awschalom, “Spin-light coherence for single-spin measurement and control in diamond,” Science 330, 1212–1215 (2010).

[Crossref]
[PubMed]

G. D. Fuchs, V. V. Dobrovitski, D. M. Toyli, F. J. Heremans, and D. D. Awschalom, “Gigahertz dynamics of a strongly driven single quantum spin,” Science 326, 1520–1522 (2009).

[Crossref]
[PubMed]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

P. E. Barclay, K. M. C. Fu, C. Santori, and R. G. Beausoleil, “Chip-based microcavities coupled to nitrogen-vacancy centers in single crystal diamond,” Appl. Phys. Lett. 95, 191115 (2009).

[Crossref]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

B. B. Buckley, G. D. Fuchs, L. C. Bassett, and D. D. Awschalom, “Spin-light coherence for single-spin measurement and control in diamond,” Science 330, 1212–1215 (2010).

[Crossref]
[PubMed]

A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff, “Implementation of a Toffoli gate with superconducting circuits,” Nature 481, 170–172 (2012).

[Crossref]

P. E. Barclay, K. M. C. Fu, C. Santori, and R. G. Beausoleil, “Chip-based microcavities coupled to nitrogen-vacancy centers in single crystal diamond,” Appl. Phys. Lett. 95, 191115 (2009).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

J. D. Pritchard, J. A. Isaacs, M. A. Beck, R. McDermott, and M. Saffman, “Hybrid atom-photon quantum gate in a superconducting microwave resonator,” Phys. Rev. A 89, 010301 (2014).

[Crossref]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, “High-fidelity projective read-out of a solid-state spin quantum register,” Nature 477, 574–578 (2011).

[Crossref]
[PubMed]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

J. Borregaard, P. Komar, E. M. Kessler, A. S. Sørensen, and M. D. Lukin, “Heralded quantum gates with integrated error detection in optical cavities,” Phys. Rev. Lett. 114, 110502 (2015).

[Crossref]
[PubMed]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

B. B. Buckley, G. D. Fuchs, L. C. Bassett, and D. D. Awschalom, “Spin-light coherence for single-spin measurement and control in diamond,” Science 330, 1212–1215 (2010).

[Crossref]
[PubMed]

V. V. Shende, I. L. Markov, and S. S. Bullock, “Minimal universal two-qubit controlled-NOT-based circuits,” Phys. Rev. A 69, 062321 (2004).

[Crossref]

V. V. Shende, S. S. Bullock, and I. L. Markov, “Recognizing small-circuit structure in two-qubit operators,” Phys. Rev. A 70, 012310 (2004).

[Crossref]

G. D. Fuchs, G. Burkard, P. V. Klimov, and D. D. Awschalom, “A quantum memory intrinsic to single nitrogen-vacancy centres in diamond,” Nat. Phys. 7, 789–793 (2011).

[Crossref]

Y. Li, L. Aolita, D. E. Chang, and L. C. Kwek, “Robust-fidelity atom-photon entangling gates in the weak-coupling regime,” Phys. Rev. Lett. 109, 160504 (2012).

[Crossref]
[PubMed]

Q. Chen, W. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).

[Crossref]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, “High-fidelity projective read-out of a solid-state spin quantum register,” Nature 477, 574–578 (2011).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, “Bulk quantum computation with nuclear magnetic resonance: theory and experiment,” Proc. R. Soc. Lond. A 454, 447–467 (1998).

[Crossref]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information(Cambridge University Press, Cambridge, U.K., 2000).

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff, “Implementation of a Toffoli gate with superconducting circuits,” Nature 481, 170–172 (2012).

[Crossref]

G. Vidal and C. M. Dawson, “Universal quantum circuit for two-qubit transformations with three controlled-NOT gates,” Phys. Rev. A 69, 010301 (2004).

[Crossref]

M. Hua, M. J. Tao, A. Alsaedi, T. Hayat, and F. G. Deng, “Universal distributed quantum computing on superconducting qutrits with dark photons,” Ann. Phys. (Berlin) 530, 1700402 (2018).

[Crossref]

T. Li, J. C. Gao, F. G. Deng, and G. L. Long, “High-fidelity quantum gates on quantum-dot-confined electron spins in low-Q optical microcavities,” Ann. Phys. 391, 150–160 (2018).

[Crossref]

G. Y. Wang, T. Li, Q. Ai, and F. G. Deng, “self-error-corrected hyperparallel photonic quantum computation working with both the polarization and the spatial-mode degrees of freedom,” Opt. Express 26, 23333–23346 (2018).

[Crossref]
[PubMed]

B. C. Ren and F. G. Deng, “Robust hyperparallel photonic quantum entangling gate with cavity QED,” Opt. Express 25, 10863–10873 (2017).

[Crossref]
[PubMed]

F. G. Deng, B. C. Ren, and X. H. Li, “Quantum hyperentanglement and its applications in quantum information processing,” Sci. Bull. 62, 46–68 (2017).

[Crossref]

G. Y. Wang, Q. Liu, and F. G. Deng, “Hyperentanglement purification for two-photon six-qubit quantum systems,” Phys. Rev. A 94, 032319 (2016).

[Crossref]

X. K. Song, Hao Zhang, Q. Ai, J. Qiu, and F. G. Deng, “Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm,” New J. Phys. 18, 023001 (2016).

[Crossref]

X. K. Song, Q. Ai, J. Qiu, and F. G. Deng, “Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics,” Phys. Rev. A 93, 052324 (2016).

[Crossref]

G. Y. Wang, Q. Ai, B. C. Ren, T. Li, and F. G. Deng, “Error-detected generation and complete analysis of hyperentangled Bell states for photons assisted by quantum-dot spins in double-sided optical microcavities,” Opt. Express 24, 28444–28458 (2016).

[Crossref]
[PubMed]

T. Li and F. G. Deng, “Error-rejecting quantum computing with solid-state spins assisted by low-Q optical microcavities,” Phys. Rev. A 94, 062310 (2016).

[Crossref]

H. R. Wei, F. G. Deng, and G. L. Long, “Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities,” Opt. Express 24, 18619–18630 (2016).

[Crossref]
[PubMed]

M. J. Tao, M. Hua, Q. Ai, and F. G. Deng, “Quantum-information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED,” Phys. Rev. A 91, 062325 (2015).

[Crossref]

B. C. Ren, G. Y. Wang, and F. G. Deng, “Universal hyperparallel hybrid photonic quantum gates with the dipole induced transparency in weak-coupling regime,” Phys. Rev. A 91, 032328 (2015).

[Crossref]

B. C. Ren and F. G. Deng, “Hyper-parallel photonic quantum computing with coupled quantum dots,” Sci. Rep. 4, 4623 (2014).

[Crossref]

H. R. Wei and F. G. Deng, “Universal quantum gates on electron-spin qubits with quantum dots inside single-side optical microcavities,” Opt. Express 22, 593–607 (2014).

[Crossref]
[PubMed]

H. R. Wei and F. G. Deng, “Scalable photonic quantum computing assisted by quantum-dot spin in double-sided optical microcavity,” Opt. Express 21, 17671–17685 (2013).

[Crossref]
[PubMed]

H. R. Wei and F. G. Deng, “Universal quantum gates for hybrid systems assisted by quantum dots inside double-sided optical microcavities,” Phys. Rev. A 87, 022305 (2013).

[Crossref]

B. C. Ren and F. G. Deng, “Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities,” Laser Phys. Lett. 10, 115201 (2013).

[Crossref]

H. R. Wei and F. G. Deng, “Compact quantum gates on electron-spin qubits assisted by diamond nitrogen-vacancy centers inside cavities,” Phys. Rev. A 88, 042323 (2013).

[Crossref]

B. C. Ren, H. R. Wei, and F.G. Deng, “Deterministic photonic spatial-polarization hyper-controlled-not gate assisted by quantum dot inside one-side optical microcavity,” Laser Phys. Lett. 10, 095202 (2013).

[Crossref]

E. Dennis, “Toward fault-tolerant quantum computation without concatenation,” Phys. Rev. A 63, 052314 (2001).

[Crossref]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

J. A. Smolin and D. P. DiVincenzo, “Five two-bit quantum gates are sufficient to implement the quantum Fredkin gate,” Phys. Rev. A 53, 2855 (1996).

[Crossref]
[PubMed]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

G. D. Fuchs, V. V. Dobrovitski, D. M. Toyli, F. J. Heremans, and D. D. Awschalom, “Gigahertz dynamics of a strongly driven single quantum spin,” Science 326, 1520–1522 (2009).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

P. F. Wang, C. Y. Ju, F. Z. Shi, and J. F. Du, “Optimizing ultrasensitive single electron magnetometer based on nitrogen-vacancy center in diamond,” Chin. Sci. Bull. 58, 2920–2923 (2013).

Q. Chen, W. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).

[Crossref]

L. M. Duan and H. J. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).

[Crossref]
[PubMed]

A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff, “Implementation of a Toffoli gate with superconducting circuits,” Nature 481, 170–172 (2012).

[Crossref]

G. R. Feng, G. F. Xu, and G. L. Long, “Experimental realization of nonadiabatic Holonomic quantum computation,” Phys. Rev. Lett. 110, 190501 (2013).

[Crossref]
[PubMed]

Q. Chen, W. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).

[Crossref]

J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities,” Phys. Rev. A 79, 032303 (2009).

[Crossref]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

I. Friedler, D. Petrosyan, M. Fleischhauer, and G. Kurizki, “Long-range interactions and entanglement of slow single-photon pulses,” Phys. Rev. A 72, 043803 (2005).

[Crossref]

E. Fredkin and T. Toffoli, “Conservative logic,” Int. J. Theor. Phys. 21, 219–253 (1982).

[Crossref]

I. Friedler, D. Petrosyan, M. Fleischhauer, and G. Kurizki, “Long-range interactions and entanglement of slow single-photon pulses,” Phys. Rev. A 72, 043803 (2005).

[Crossref]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

P. E. Barclay, K. M. C. Fu, C. Santori, and R. G. Beausoleil, “Chip-based microcavities coupled to nitrogen-vacancy centers in single crystal diamond,” Appl. Phys. Lett. 95, 191115 (2009).

[Crossref]

G. D. Fuchs, G. Burkard, P. V. Klimov, and D. D. Awschalom, “A quantum memory intrinsic to single nitrogen-vacancy centres in diamond,” Nat. Phys. 7, 789–793 (2011).

[Crossref]

B. B. Buckley, G. D. Fuchs, L. C. Bassett, and D. D. Awschalom, “Spin-light coherence for single-spin measurement and control in diamond,” Science 330, 1212–1215 (2010).

[Crossref]
[PubMed]

G. D. Fuchs, V. V. Dobrovitski, D. M. Toyli, F. J. Heremans, and D. D. Awschalom, “Gigahertz dynamics of a strongly driven single quantum spin,” Science 326, 1520–1522 (2009).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).

[Crossref]
[PubMed]

T. Li, J. C. Gao, F. G. Deng, and G. L. Long, “High-fidelity quantum gates on quantum-dot-confined electron spins in low-Q optical microcavities,” Ann. Phys. 391, 150–160 (2018).

[Crossref]

I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, “Bulk quantum computation with nuclear magnetic resonance: theory and experiment,” Proc. R. Soc. Lond. A 454, 447–467 (1998).

[Crossref]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

L. K. Grover, “Quantum mechanics helps in searching for a needle in a haystack,” Phys. Rev. Lett. 79, 325 (1997).

[Crossref]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).

[Crossref]
[PubMed]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

Y. B. Sheng, J. Pan, R. Guo, L. Zhou, and L. Wang, “Efficient N-particle W state concentration with different parity check gates,” Sci. China: Phys., Mech. Astron. 58, 060301 (2015).

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, “High-fidelity projective read-out of a solid-state spin quantum register,” Nature 477, 574–578 (2011).

[Crossref]
[PubMed]

N. B. Manson, J. P. Harrison, and M. J. Sellars, “Nitrogen-vacancy center in diamond: Model of the electronic structure and associated dynamics,” Phys. Rev. B 74, 104303 (2006).

[Crossref]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

M. Hua, M. J. Tao, A. Alsaedi, T. Hayat, and F. G. Deng, “Universal distributed quantum computing on superconducting qutrits with dark photons,” Ann. Phys. (Berlin) 530, 1700402 (2018).

[Crossref]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107, 153001 (2011).

[Crossref]
[PubMed]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, “High-fidelity projective read-out of a solid-state spin quantum register,” Nature 477, 574–578 (2011).

[Crossref]
[PubMed]

G. D. Fuchs, V. V. Dobrovitski, D. M. Toyli, F. J. Heremans, and D. D. Awschalom, “Gigahertz dynamics of a strongly driven single quantum spin,” Science 326, 1520–1522 (2009).

[Crossref]
[PubMed]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

J. Zhou, B. J. Liu, Z. P. Hong, and Z. Y. Xue, “Fast holonomic quantum computation based on solid-state spins with all-optical control,” Sci. China: Phys., Mech. Astron. 61, 010312 (2018).

Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710 (1995).

[Crossref]
[PubMed]

C. Y. Hu, W. J. Munro, J. L. O’Brien, and J. G. Rarity, “Proposed entanglement beam splitter using a quantum-dot spin in a double-sided optical microcavity,” Phys. Rev. B 80, 205326 (2009).

[Crossref]

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: Applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).

[Crossref]

M. Hua, M. J. Tao, A. Alsaedi, T. Hayat, and F. G. Deng, “Universal distributed quantum computing on superconducting qutrits with dark photons,” Ann. Phys. (Berlin) 530, 1700402 (2018).

[Crossref]

M. J. Tao, M. Hua, Q. Ai, and F. G. Deng, “Quantum-information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED,” Phys. Rev. A 91, 062325 (2015).

[Crossref]

J. D. Pritchard, J. A. Isaacs, M. A. Beck, R. McDermott, and M. Saffman, “Hybrid atom-photon quantum gate in a superconducting microwave resonator,” Phys. Rev. A 89, 010301 (2014).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

P. F. Wang, C. Y. Ju, F. Z. Shi, and J. F. Du, “Optimizing ultrasensitive single electron magnetometer based on nitrogen-vacancy center in diamond,” Chin. Sci. Bull. 58, 2920–2923 (2013).

J. Borregaard, P. Komar, E. M. Kessler, A. S. Sørensen, and M. D. Lukin, “Heralded quantum gates with integrated error detection in optical cavities,” Phys. Rev. Lett. 114, 110502 (2015).

[Crossref]
[PubMed]

L. M. Duan and H. J. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004).

[Crossref]
[PubMed]

Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710 (1995).

[Crossref]
[PubMed]

G. D. Fuchs, G. Burkard, P. V. Klimov, and D. D. Awschalom, “A quantum memory intrinsic to single nitrogen-vacancy centres in diamond,” Nat. Phys. 7, 789–793 (2011).

[Crossref]

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).

[Crossref]
[PubMed]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

J. Borregaard, P. Komar, E. M. Kessler, A. S. Sørensen, and M. D. Lukin, “Heralded quantum gates with integrated error detection in optical cavities,” Phys. Rev. Lett. 114, 110502 (2015).

[Crossref]
[PubMed]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).

[Crossref]
[PubMed]

I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, “Bulk quantum computation with nuclear magnetic resonance: theory and experiment,” Proc. R. Soc. Lond. A 454, 447–467 (1998).

[Crossref]

I. Friedler, D. Petrosyan, M. Fleischhauer, and G. Kurizki, “Long-range interactions and entanglement of slow single-photon pulses,” Phys. Rev. A 72, 043803 (2005).

[Crossref]

Y. Li, L. Aolita, D. E. Chang, and L. C. Kwek, “Robust-fidelity atom-photon entangling gates in the weak-coupling regime,” Phys. Rev. Lett. 109, 160504 (2012).

[Crossref]
[PubMed]

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).

[Crossref]
[PubMed]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710 (1995).

[Crossref]
[PubMed]

A. Lenef and S. C. Rand, “Electronic structure of the N-V center in diamond: Theory,” Phys. Rev. B 53, 13441–13455 (1996).

[Crossref]

I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, “Bulk quantum computation with nuclear magnetic resonance: theory and experiment,” Proc. R. Soc. Lond. A 454, 447–467 (1998).

[Crossref]

L. M. Liang and C. Z. Li, “Realization of quantum SWAP gate between flying and stationary qubits,” Phys. Rev. A 72, 024303 (2005).

[Crossref]

T. Li, J. C. Gao, F. G. Deng, and G. L. Long, “High-fidelity quantum gates on quantum-dot-confined electron spins in low-Q optical microcavities,” Ann. Phys. 391, 150–160 (2018).

[Crossref]

G. Y. Wang, T. Li, Q. Ai, and F. G. Deng, “self-error-corrected hyperparallel photonic quantum computation working with both the polarization and the spatial-mode degrees of freedom,” Opt. Express 26, 23333–23346 (2018).

[Crossref]
[PubMed]

T. Li and F. G. Deng, “Error-rejecting quantum computing with solid-state spins assisted by low-Q optical microcavities,” Phys. Rev. A 94, 062310 (2016).

[Crossref]

G. Y. Wang, Q. Ai, B. C. Ren, T. Li, and F. G. Deng, “Error-detected generation and complete analysis of hyperentangled Bell states for photons assisted by quantum-dot spins in double-sided optical microcavities,” Opt. Express 24, 28444–28458 (2016).

[Crossref]
[PubMed]

T. Li and G. L. Long, “Hyperparallel optical quantum computation assisted by atomic ensembles embedded in double-sided optical cavities,” Phys. Rev. A 94, 022343 (2016).

[Crossref]

F. G. Deng, B. C. Ren, and X. H. Li, “Quantum hyperentanglement and its applications in quantum information processing,” Sci. Bull. 62, 46–68 (2017).

[Crossref]

Y. Li, L. Aolita, D. E. Chang, and L. C. Kwek, “Robust-fidelity atom-photon entangling gates in the weak-coupling regime,” Phys. Rev. Lett. 109, 160504 (2012).

[Crossref]
[PubMed]

L. M. Liang and C. Z. Li, “Realization of quantum SWAP gate between flying and stationary qubits,” Phys. Rev. A 72, 024303 (2005).

[Crossref]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

J. Zhou, B. J. Liu, Z. P. Hong, and Z. Y. Xue, “Fast holonomic quantum computation based on solid-state spins with all-optical control,” Sci. China: Phys., Mech. Astron. 61, 010312 (2018).

G. Y. Wang, Q. Liu, and F. G. Deng, “Hyperentanglement purification for two-photon six-qubit quantum systems,” Phys. Rev. A 94, 032319 (2016).

[Crossref]

Q. Liu and M. Zhang, “Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators,” Phys. Rev. A 91, 062321 (2015).

[Crossref]

Y. Liu, G. L. Long, and Y. Sun, “Analytic one-bit and CNOT gate constructions of general n-qubit controlled gates,” Int. J. Quant. Inform. 6, 447–462 (2008).

[Crossref]

T. Li, J. C. Gao, F. G. Deng, and G. L. Long, “High-fidelity quantum gates on quantum-dot-confined electron spins in low-Q optical microcavities,” Ann. Phys. 391, 150–160 (2018).

[Crossref]

H. R. Wei, F. G. Deng, and G. L. Long, “Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities,” Opt. Express 24, 18619–18630 (2016).

[Crossref]
[PubMed]

T. Li and G. L. Long, “Hyperparallel optical quantum computation assisted by atomic ensembles embedded in double-sided optical cavities,” Phys. Rev. A 94, 022343 (2016).

[Crossref]

H. R. Wei and G. L. Long, “Universal photonic quantum gates assisted by ancilla diamond nitrogen-vacancy centers coupled to resonators,” Phys. Rev. A 91, 032324 (2015).

[Crossref]

G. R. Feng, G. F. Xu, and G. L. Long, “Experimental realization of nonadiabatic Holonomic quantum computation,” Phys. Rev. Lett. 110, 190501 (2013).

[Crossref]
[PubMed]

Y. Liu, G. L. Long, and Y. Sun, “Analytic one-bit and CNOT gate constructions of general n-qubit controlled gates,” Int. J. Quant. Inform. 6, 447–462 (2008).

[Crossref]

G. L. Long, “Grover algorithm with zero theoretical failure rate,” Phys. Rev. A 64, 022307 (2001).

[Crossref]

J. Borregaard, P. Komar, E. M. Kessler, A. S. Sørensen, and M. D. Lukin, “Heralded quantum gates with integrated error detection in optical cavities,” Phys. Rev. Lett. 114, 110502 (2015).

[Crossref]
[PubMed]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710 (1995).

[Crossref]
[PubMed]

N. B. Manson, J. P. Harrison, and M. J. Sellars, “Nitrogen-vacancy center in diamond: Model of the electronic structure and associated dynamics,” Phys. Rev. B 74, 104303 (2006).

[Crossref]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

V. V. Shende, I. L. Markov, and S. S. Bullock, “Minimal universal two-qubit controlled-NOT-based circuits,” Phys. Rev. A 69, 062321 (2004).

[Crossref]

V. V. Shende, S. S. Bullock, and I. L. Markov, “Recognizing small-circuit structure in two-qubit operators,” Phys. Rev. A 70, 012310 (2004).

[Crossref]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

J. D. Pritchard, J. A. Isaacs, M. A. Beck, R. McDermott, and M. Saffman, “Hybrid atom-photon quantum gate in a superconducting microwave resonator,” Phys. Rev. A 89, 010301 (2014).

[Crossref]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).

[Crossref]
[PubMed]

W. Qin, X. Wang, A. Miranowicz, Z. Zhong, and F. Nori, “Heralded quantum controlled-phase gates with dissipative dynamics in macroscopically distant resonators,” Phys. Rev. A 96, 012315 (2017).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

C. Y. Hu, W. J. Munro, J. L. O’Brien, and J. G. Rarity, “Proposed entanglement beam splitter using a quantum-dot spin in a double-sided optical microcavity,” Phys. Rev. B 80, 205326 (2009).

[Crossref]

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: Applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).

[Crossref]

K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004).

[Crossref]

K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information(Cambridge University Press, Cambridge, U.K., 2000).

J. H. Shim, I. Niemeyer, J. Zhang, and D. Suter, “Room-temperature high-speed nuclear-spin quantum memory in diamond,” Phys. Rev. A 87, 012301 (2013).

[Crossref]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

A. O. Niskanen, J. J. Vartiainen, and M. M. Salomaa, “Optimal multiqubit operations for Josephson charge qubits,” Phys. Rev. Lett. 90, 197901 (2003).

[Crossref]
[PubMed]

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).

[Crossref]
[PubMed]

W. Qin, X. Wang, A. Miranowicz, Z. Zhong, and F. Nori, “Heralded quantum controlled-phase gates with dissipative dynamics in macroscopically distant resonators,” Phys. Rev. A 96, 012315 (2017).

[Crossref]

C. Y. Hu, W. J. Munro, J. L. O’Brien, and J. G. Rarity, “Proposed entanglement beam splitter using a quantum-dot spin in a double-sided optical microcavity,” Phys. Rev. B 80, 205326 (2009).

[Crossref]

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: Applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).

[Crossref]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities,” Phys. Rev. A 79, 032303 (2009).

[Crossref]

Y. B. Sheng, J. Pan, R. Guo, L. Zhou, and L. Wang, “Efficient N-particle W state concentration with different parity check gates,” Sci. China: Phys., Mech. Astron. 58, 060301 (2015).

I. Friedler, D. Petrosyan, M. Fleischhauer, and G. Kurizki, “Long-range interactions and entanglement of slow single-photon pulses,” Phys. Rev. A 72, 043803 (2005).

[Crossref]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107, 153001 (2011).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

J. D. Pritchard, J. A. Isaacs, M. A. Beck, R. McDermott, and M. Saffman, “Hybrid atom-photon quantum gate in a superconducting microwave resonator,” Phys. Rev. A 89, 010301 (2014).

[Crossref]

W. Qin, X. Wang, A. Miranowicz, Z. Zhong, and F. Nori, “Heralded quantum controlled-phase gates with dissipative dynamics in macroscopically distant resonators,” Phys. Rev. A 96, 012315 (2017).

[Crossref]

X. K. Song, Q. Ai, J. Qiu, and F. G. Deng, “Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics,” Phys. Rev. A 93, 052324 (2016).

[Crossref]

X. K. Song, Hao Zhang, Q. Ai, J. Qiu, and F. G. Deng, “Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm,” New J. Phys. 18, 023001 (2016).

[Crossref]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

A. Lenef and S. C. Rand, “Electronic structure of the N-V center in diamond: Theory,” Phys. Rev. B 53, 13441–13455 (1996).

[Crossref]

C. Y. Hu, W. J. Munro, J. L. O’Brien, and J. G. Rarity, “Proposed entanglement beam splitter using a quantum-dot spin in a double-sided optical microcavity,” Phys. Rev. B 80, 205326 (2009).

[Crossref]

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: Applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).

[Crossref]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

F. G. Deng, B. C. Ren, and X. H. Li, “Quantum hyperentanglement and its applications in quantum information processing,” Sci. Bull. 62, 46–68 (2017).

[Crossref]

B. C. Ren and F. G. Deng, “Robust hyperparallel photonic quantum entangling gate with cavity QED,” Opt. Express 25, 10863–10873 (2017).

[Crossref]
[PubMed]

G. Y. Wang, Q. Ai, B. C. Ren, T. Li, and F. G. Deng, “Error-detected generation and complete analysis of hyperentangled Bell states for photons assisted by quantum-dot spins in double-sided optical microcavities,” Opt. Express 24, 28444–28458 (2016).

[Crossref]
[PubMed]

B. C. Ren, G. Y. Wang, and F. G. Deng, “Universal hyperparallel hybrid photonic quantum gates with the dipole induced transparency in weak-coupling regime,” Phys. Rev. A 91, 032328 (2015).

[Crossref]

B. C. Ren and F. G. Deng, “Hyper-parallel photonic quantum computing with coupled quantum dots,” Sci. Rep. 4, 4623 (2014).

[Crossref]

B. C. Ren and F. G. Deng, “Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities,” Laser Phys. Lett. 10, 115201 (2013).

[Crossref]

B. C. Ren, H. R. Wei, and F.G. Deng, “Deterministic photonic spatial-polarization hyper-controlled-not gate assisted by quantum dot inside one-side optical microcavity,” Laser Phys. Lett. 10, 095202 (2013).

[Crossref]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, “High-fidelity projective read-out of a solid-state spin quantum register,” Nature 477, 574–578 (2011).

[Crossref]
[PubMed]

J. D. Pritchard, J. A. Isaacs, M. A. Beck, R. McDermott, and M. Saffman, “Hybrid atom-photon quantum gate in a superconducting microwave resonator,” Phys. Rev. A 89, 010301 (2014).

[Crossref]

A. O. Niskanen, J. J. Vartiainen, and M. M. Salomaa, “Optimal multiqubit operations for Josephson charge qubits,” Phys. Rev. Lett. 90, 197901 (2003).

[Crossref]
[PubMed]

P. E. Barclay, K. M. C. Fu, C. Santori, and R. G. Beausoleil, “Chip-based microcavities coupled to nitrogen-vacancy centers in single crystal diamond,” Appl. Phys. Lett. 95, 191115 (2009).

[Crossref]

J. Zhang, J. Vala, S. Sastry, and K. B. Whaley, “Optimal quantum circuit synthesis from controlled-unitary gates,” Phys. Rev. A 69, 042309 (2004).

[Crossref]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

N. B. Manson, J. P. Harrison, and M. J. Sellars, “Nitrogen-vacancy center in diamond: Model of the electronic structure and associated dynamics,” Phys. Rev. B 74, 104303 (2006).

[Crossref]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107, 153001 (2011).

[Crossref]
[PubMed]

V. V. Shende, I. L. Markov, and S. S. Bullock, “Minimal universal two-qubit controlled-NOT-based circuits,” Phys. Rev. A 69, 062321 (2004).

[Crossref]

V. V. Shende, S. S. Bullock, and I. L. Markov, “Recognizing small-circuit structure in two-qubit operators,” Phys. Rev. A 70, 012310 (2004).

[Crossref]

L. Zhou and Y. B. Sheng, “Polarization entanglement purification for concatenated Greenberger-Horne-Zeilinger state,” Ann. Phys. 385, 10–35 (2017).

[Crossref]

L. Zhou and Y. B. Sheng, “Distributed secure quantum machine learning,” Sci. Bull. 62, 1025–1029 (2017).

[Crossref]

Y. B. Sheng, J. Pan, R. Guo, L. Zhou, and L. Wang, “Efficient N-particle W state concentration with different parity check gates,” Sci. China: Phys., Mech. Astron. 58, 060301 (2015).

L. Zhou and Y. B. Sheng, “Complete logic Bell-state analysis assisted with photonic Faraday rotation,” Phys. Rev. A, 92, 042314 (2015).

[Crossref]

L. Zhou and Y. B. Sheng, “Detection of nonlocal atomic entanglement assisted by single photons,” Phys. Rev. A 90, 024301 (2014).

[Crossref]

P. F. Wang, C. Y. Ju, F. Z. Shi, and J. F. Du, “Optimizing ultrasensitive single electron magnetometer based on nitrogen-vacancy center in diamond,” Chin. Sci. Bull. 58, 2920–2923 (2013).

Y. Y. Shi, “Both Toffoli and controlled-NOT need little help to universal quantum computing,” Quantum Inf. Comput. 3, 84–92 (2003).

J. H. Shim, I. Niemeyer, J. Zhang, and D. Suter, “Room-temperature high-speed nuclear-spin quantum memory in diamond,” Phys. Rev. A 87, 012301 (2013).

[Crossref]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

P. W. Shor, “Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,” SIAM J. Sci. Stat. Comput. 26, 1484–1509 (1997).

[Crossref]

M. Wallquist, V. S. Shumeiko, and G. Wendin, “Selective coupling of superconducting charge qubits mediated by a tunable stripline cavity,” Phys. Rev. B 74, 224506 (2006).

[Crossref]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

T. Sleator and H. Weinfurter, “Realizable universal quantum logic gate,” Phys. Rev. Lett. 74, 4087 (1995).

[Crossref]
[PubMed]

J. A. Smolin and D. P. DiVincenzo, “Five two-bit quantum gates are sufficient to implement the quantum Fredkin gate,” Phys. Rev. A 53, 2855 (1996).

[Crossref]
[PubMed]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

X. K. Song, Hao Zhang, Q. Ai, J. Qiu, and F. G. Deng, “Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm,” New J. Phys. 18, 023001 (2016).

[Crossref]

X. K. Song, Q. Ai, J. Qiu, and F. G. Deng, “Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics,” Phys. Rev. A 93, 052324 (2016).

[Crossref]

J. Borregaard, P. Komar, E. M. Kessler, A. S. Sørensen, and M. D. Lukin, “Heralded quantum gates with integrated error detection in optical cavities,” Phys. Rev. Lett. 114, 110502 (2015).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff, “Implementation of a Toffoli gate with superconducting circuits,” Nature 481, 170–172 (2012).

[Crossref]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

Y. Liu, G. L. Long, and Y. Sun, “Analytic one-bit and CNOT gate constructions of general n-qubit controlled gates,” Int. J. Quant. Inform. 6, 447–462 (2008).

[Crossref]

J. H. Shim, I. Niemeyer, J. Zhang, and D. Suter, “Room-temperature high-speed nuclear-spin quantum memory in diamond,” Phys. Rev. A 87, 012301 (2013).

[Crossref]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

M. Hua, M. J. Tao, A. Alsaedi, T. Hayat, and F. G. Deng, “Universal distributed quantum computing on superconducting qutrits with dark photons,” Ann. Phys. (Berlin) 530, 1700402 (2018).

[Crossref]

M. J. Tao, M. Hua, Q. Ai, and F. G. Deng, “Quantum-information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED,” Phys. Rev. A 91, 062325 (2015).

[Crossref]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

E. Fredkin and T. Toffoli, “Conservative logic,” Int. J. Theor. Phys. 21, 219–253 (1982).

[Crossref]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

G. D. Fuchs, V. V. Dobrovitski, D. M. Toyli, F. J. Heremans, and D. D. Awschalom, “Gigahertz dynamics of a strongly driven single quantum spin,” Science 326, 1520–1522 (2009).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710 (1995).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).

[Crossref]
[PubMed]

J. Zhang, J. Vala, S. Sastry, and K. B. Whaley, “Optimal quantum circuit synthesis from controlled-unitary gates,” Phys. Rev. A 69, 042309 (2004).

[Crossref]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

A. O. Niskanen, J. J. Vartiainen, and M. M. Salomaa, “Optimal multiqubit operations for Josephson charge qubits,” Phys. Rev. Lett. 90, 197901 (2003).

[Crossref]
[PubMed]

F. Vatan and C. Williams, “Optimal quantum circuits for general two-qubit gates,” Phys. Rev. A 69, 032315 (2004).

[Crossref]

G. Vidal and C. M. Dawson, “Universal quantum circuit for two-qubit transformations with three controlled-NOT gates,” Phys. Rev. A 69, 010301 (2004).

[Crossref]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

M. Wallquist, V. S. Shumeiko, and G. Wendin, “Selective coupling of superconducting charge qubits mediated by a tunable stripline cavity,” Phys. Rev. B 74, 224506 (2006).

[Crossref]

A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff, “Implementation of a Toffoli gate with superconducting circuits,” Nature 481, 170–172 (2012).

[Crossref]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

L. Y. He, T. J. Wang, and C. Wang, “Construction of high-dimensional universal quantum logic gates using a Λ system coupled with a whispering-gallery-mode microresonator,” Opt. Express 24, 15429–15445 (2016).

[Crossref]
[PubMed]

T. J. Wang and C. Wang, “Universal hybrid three-qubit quantum gates assisted by a nitrogen-vacancy center coupled with a whispering-gallery-mode microresonator,” Phys. Rev. A 90, 052310 (2014).

[Crossref]

C. Wang, Y. Zhang, R. Z. Jiao, and G. S. Jin, “Universal quantum controlled phase gate on photonic qubits based on nitrogen vacancy centers and microcavity resonators,” Opt. Express 21, 19252–19260 (2013).

[Crossref]
[PubMed]

G. Y. Wang, T. Li, Q. Ai, and F. G. Deng, “self-error-corrected hyperparallel photonic quantum computation working with both the polarization and the spatial-mode degrees of freedom,” Opt. Express 26, 23333–23346 (2018).

[Crossref]
[PubMed]

G. Y. Wang, Q. Ai, B. C. Ren, T. Li, and F. G. Deng, “Error-detected generation and complete analysis of hyperentangled Bell states for photons assisted by quantum-dot spins in double-sided optical microcavities,” Opt. Express 24, 28444–28458 (2016).

[Crossref]
[PubMed]

G. Y. Wang, Q. Liu, and F. G. Deng, “Hyperentanglement purification for two-photon six-qubit quantum systems,” Phys. Rev. A 94, 032319 (2016).

[Crossref]

B. C. Ren, G. Y. Wang, and F. G. Deng, “Universal hyperparallel hybrid photonic quantum gates with the dipole induced transparency in weak-coupling regime,” Phys. Rev. A 91, 032328 (2015).

[Crossref]

Y. B. Sheng, J. Pan, R. Guo, L. Zhou, and L. Wang, “Efficient N-particle W state concentration with different parity check gates,” Sci. China: Phys., Mech. Astron. 58, 060301 (2015).

P. F. Wang, C. Y. Ju, F. Z. Shi, and J. F. Du, “Optimizing ultrasensitive single electron magnetometer based on nitrogen-vacancy center in diamond,” Chin. Sci. Bull. 58, 2920–2923 (2013).

W. Qin, X. Wang, A. Miranowicz, Z. Zhong, and F. Nori, “Heralded quantum controlled-phase gates with dissipative dynamics in macroscopically distant resonators,” Phys. Rev. A 96, 012315 (2017).

[Crossref]

H. R. Wei, F. G. Deng, and G. L. Long, “Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities,” Opt. Express 24, 18619–18630 (2016).

[Crossref]
[PubMed]

H. R. Wei and G. L. Long, “Universal photonic quantum gates assisted by ancilla diamond nitrogen-vacancy centers coupled to resonators,” Phys. Rev. A 91, 032324 (2015).

[Crossref]

H. R. Wei and F. G. Deng, “Universal quantum gates on electron-spin qubits with quantum dots inside single-side optical microcavities,” Opt. Express 22, 593–607 (2014).

[Crossref]
[PubMed]

H. R. Wei and F. G. Deng, “Scalable photonic quantum computing assisted by quantum-dot spin in double-sided optical microcavity,” Opt. Express 21, 17671–17685 (2013).

[Crossref]
[PubMed]

H. R. Wei and F. G. Deng, “Universal quantum gates for hybrid systems assisted by quantum dots inside double-sided optical microcavities,” Phys. Rev. A 87, 022305 (2013).

[Crossref]

B. C. Ren, H. R. Wei, and F.G. Deng, “Deterministic photonic spatial-polarization hyper-controlled-not gate assisted by quantum dot inside one-side optical microcavity,” Laser Phys. Lett. 10, 095202 (2013).

[Crossref]

H. R. Wei and F. G. Deng, “Compact quantum gates on electron-spin qubits assisted by diamond nitrogen-vacancy centers inside cavities,” Phys. Rev. A 88, 042323 (2013).

[Crossref]

T. Sleator and H. Weinfurter, “Realizable universal quantum logic gate,” Phys. Rev. Lett. 74, 4087 (1995).

[Crossref]
[PubMed]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

M. Wallquist, V. S. Shumeiko, and G. Wendin, “Selective coupling of superconducting charge qubits mediated by a tunable stripline cavity,” Phys. Rev. B 74, 224506 (2006).

[Crossref]

J. Zhang, J. Vala, S. Sastry, and K. B. Whaley, “Optimal quantum circuit synthesis from controlled-unitary gates,” Phys. Rev. A 69, 042309 (2004).

[Crossref]

F. Vatan and C. Williams, “Optimal quantum circuits for general two-qubit gates,” Phys. Rev. A 69, 032315 (2004).

[Crossref]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).

[Crossref]
[PubMed]

G. R. Feng, G. F. Xu, and G. L. Long, “Experimental realization of nonadiabatic Holonomic quantum computation,” Phys. Rev. Lett. 110, 190501 (2013).

[Crossref]
[PubMed]

J. Zhou, B. J. Liu, Z. P. Hong, and Z. Y. Xue, “Fast holonomic quantum computation based on solid-state spins with all-optical control,” Sci. China: Phys., Mech. Astron. 61, 010312 (2018).

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

Q. Chen, W. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).

[Crossref]

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: Applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).

[Crossref]

X. K. Song, Hao Zhang, Q. Ai, J. Qiu, and F. G. Deng, “Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm,” New J. Phys. 18, 023001 (2016).

[Crossref]

J. H. Shim, I. Niemeyer, J. Zhang, and D. Suter, “Room-temperature high-speed nuclear-spin quantum memory in diamond,” Phys. Rev. A 87, 012301 (2013).

[Crossref]

J. Zhang, J. Vala, S. Sastry, and K. B. Whaley, “Optimal quantum circuit synthesis from controlled-unitary gates,” Phys. Rev. A 69, 042309 (2004).

[Crossref]

Q. Liu and M. Zhang, “Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators,” Phys. Rev. A 91, 062321 (2015).

[Crossref]

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).

[Crossref]
[PubMed]

W. Qin, X. Wang, A. Miranowicz, Z. Zhong, and F. Nori, “Heralded quantum controlled-phase gates with dissipative dynamics in macroscopically distant resonators,” Phys. Rev. A 96, 012315 (2017).

[Crossref]

J. Zhou, B. J. Liu, Z. P. Hong, and Z. Y. Xue, “Fast holonomic quantum computation based on solid-state spins with all-optical control,” Sci. China: Phys., Mech. Astron. 61, 010312 (2018).

L. Zhou and Y. B. Sheng, “Distributed secure quantum machine learning,” Sci. Bull. 62, 1025–1029 (2017).

[Crossref]

L. Zhou and Y. B. Sheng, “Polarization entanglement purification for concatenated Greenberger-Horne-Zeilinger state,” Ann. Phys. 385, 10–35 (2017).

[Crossref]

Y. B. Sheng, J. Pan, R. Guo, L. Zhou, and L. Wang, “Efficient N-particle W state concentration with different parity check gates,” Sci. China: Phys., Mech. Astron. 58, 060301 (2015).

L. Zhou and Y. B. Sheng, “Complete logic Bell-state analysis assisted with photonic Faraday rotation,” Phys. Rev. A, 92, 042314 (2015).

[Crossref]

L. Zhou and Y. B. Sheng, “Detection of nonlocal atomic entanglement assisted by single photons,” Phys. Rev. A 90, 024301 (2014).

[Crossref]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

L. Zhou and Y. B. Sheng, “Polarization entanglement purification for concatenated Greenberger-Horne-Zeilinger state,” Ann. Phys. 385, 10–35 (2017).

[Crossref]

T. Li, J. C. Gao, F. G. Deng, and G. L. Long, “High-fidelity quantum gates on quantum-dot-confined electron spins in low-Q optical microcavities,” Ann. Phys. 391, 150–160 (2018).

[Crossref]

M. Hua, M. J. Tao, A. Alsaedi, T. Hayat, and F. G. Deng, “Universal distributed quantum computing on superconducting qutrits with dark photons,” Ann. Phys. (Berlin) 530, 1700402 (2018).

[Crossref]

P. E. Barclay, K. M. C. Fu, C. Santori, and R. G. Beausoleil, “Chip-based microcavities coupled to nitrogen-vacancy centers in single crystal diamond,” Appl. Phys. Lett. 95, 191115 (2009).

[Crossref]

P. F. Wang, C. Y. Ju, F. Z. Shi, and J. F. Du, “Optimizing ultrasensitive single electron magnetometer based on nitrogen-vacancy center in diamond,” Chin. Sci. Bull. 58, 2920–2923 (2013).

Y. Liu, G. L. Long, and Y. Sun, “Analytic one-bit and CNOT gate constructions of general n-qubit controlled gates,” Int. J. Quant. Inform. 6, 447–462 (2008).

[Crossref]

E. Fredkin and T. Toffoli, “Conservative logic,” Int. J. Theor. Phys. 21, 219–253 (1982).

[Crossref]

B. C. Ren, H. R. Wei, and F.G. Deng, “Deterministic photonic spatial-polarization hyper-controlled-not gate assisted by quantum dot inside one-side optical microcavity,” Laser Phys. Lett. 10, 095202 (2013).

[Crossref]

B. C. Ren and F. G. Deng, “Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities,” Laser Phys. Lett. 10, 115201 (2013).

[Crossref]

G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, “Ultralong spin coherence time in isotopically engineered diamond,” Nat. Mater. 8, 383–387 (2009).

[Crossref]
[PubMed]

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, “Room-temperature coherent coupling of single spins in diamond,” Nat. Phys. 2, 408–413 (2006).

[Crossref]

G. D. Fuchs, G. Burkard, P. V. Klimov, and D. D. Awschalom, “A quantum memory intrinsic to single nitrogen-vacancy centres in diamond,” Nat. Phys. 7, 789–793 (2011).

[Crossref]

H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, “Heralded entanglement between solid-state qubits separated by 3 meters,” Nature 497, 86–90 (2013).

[Crossref]
[PubMed]

L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, “High-fidelity projective read-out of a solid-state spin quantum register,” Nature 477, 574–578 (2011).

[Crossref]
[PubMed]

E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Srensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, “Quantum entanglement between an optical photon and a solid-state spin qubit,” Nature 466, 730 (2010).

[Crossref]
[PubMed]

E. Knill, R. Laflamme, and G. J. Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).

[Crossref]
[PubMed]

T. Peyronel, O. Firstenberg, Q. Y. Liang, S. Hofferberth, A. V. Gorshkov, T. Pohl, M. D. Lukin, and V. Vuletic, “Quantum nonlinear optics with single photons enabled by strongly interacting atoms,” Nature 488, 57–60 (2012).

[Crossref]
[PubMed]

M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, “Realization of three-qubit quantum error correction with superconducting circuits,” Nature 482, 382–385 (2012).

[Crossref]
[PubMed]

A. Fedorov, L. Steffen, M. Baur, M. P. da Silva, and A. Wallraff, “Implementation of a Toffoli gate with superconducting circuits,” Nature 481, 170–172 (2012).

[Crossref]

X. K. Song, Hao Zhang, Q. Ai, J. Qiu, and F. G. Deng, “Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm,” New J. Phys. 18, 023001 (2016).

[Crossref]

H. R. Wei and F. G. Deng, “Universal quantum gates on electron-spin qubits with quantum dots inside single-side optical microcavities,” Opt. Express 22, 593–607 (2014).

[Crossref]
[PubMed]

H. R. Wei and F. G. Deng, “Scalable photonic quantum computing assisted by quantum-dot spin in double-sided optical microcavity,” Opt. Express 21, 17671–17685 (2013).

[Crossref]
[PubMed]

H. R. Wei, F. G. Deng, and G. L. Long, “Hyper-parallel Toffoli gate on three-photon system with two degrees of freedom assisted by single-sided optical microcavities,” Opt. Express 24, 18619–18630 (2016).

[Crossref]
[PubMed]

B. C. Ren and F. G. Deng, “Robust hyperparallel photonic quantum entangling gate with cavity QED,” Opt. Express 25, 10863–10873 (2017).

[Crossref]
[PubMed]

G. Y. Wang, T. Li, Q. Ai, and F. G. Deng, “self-error-corrected hyperparallel photonic quantum computation working with both the polarization and the spatial-mode degrees of freedom,” Opt. Express 26, 23333–23346 (2018).

[Crossref]
[PubMed]

T. Liu, B. Q. Guo, C. S. Yu, and W. N. Zhang, “One-step implementation of a hybrid Fredkin gate with quantum memories and single superconducting qubit in circuit QED and its applications,” Opt. Express 26, 4498–4511 (2018).

[Crossref]
[PubMed]

L. Y. He, T. J. Wang, and C. Wang, “Construction of high-dimensional universal quantum logic gates using a Λ system coupled with a whispering-gallery-mode microresonator,” Opt. Express 24, 15429–15445 (2016).

[Crossref]
[PubMed]

X. Han, Q. Guo, A. D. Zhu, S. Zhang, and H. F. Wang, “Effective W-state fusion strategies in nitrogen-vacancy centers via coupling to microtoroidal resonators,” Opt. Express 25, 17701–17712 (2017).

[Crossref]
[PubMed]

G. Y. Wang, Q. Ai, B. C. Ren, T. Li, and F. G. Deng, “Error-detected generation and complete analysis of hyperentangled Bell states for photons assisted by quantum-dot spins in double-sided optical microcavities,” Opt. Express 24, 28444–28458 (2016).

[Crossref]
[PubMed]

C. Wang, Y. Zhang, R. Z. Jiao, and G. S. Jin, “Universal quantum controlled phase gate on photonic qubits based on nitrogen vacancy centers and microcavity resonators,” Opt. Express 21, 19252–19260 (2013).

[Crossref]
[PubMed]

J. H. An, M. Feng, and C. H. Oh, “Quantum-information processing with a single photon by an input-output process with respect to low-Q cavities,” Phys. Rev. A 79, 032303 (2009).

[Crossref]

J. A. Smolin and D. P. DiVincenzo, “Five two-bit quantum gates are sufficient to implement the quantum Fredkin gate,” Phys. Rev. A 53, 2855 (1996).

[Crossref]
[PubMed]

W. Qin, X. Wang, A. Miranowicz, Z. Zhong, and F. Nori, “Heralded quantum controlled-phase gates with dissipative dynamics in macroscopically distant resonators,” Phys. Rev. A 96, 012315 (2017).

[Crossref]

T. Li and F. G. Deng, “Error-rejecting quantum computing with solid-state spins assisted by low-Q optical microcavities,” Phys. Rev. A 94, 062310 (2016).

[Crossref]

M. J. Tao, M. Hua, Q. Ai, and F. G. Deng, “Quantum-information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED,” Phys. Rev. A 91, 062325 (2015).

[Crossref]

J. H. Shim, I. Niemeyer, J. Zhang, and D. Suter, “Room-temperature high-speed nuclear-spin quantum memory in diamond,” Phys. Rev. A 87, 012301 (2013).

[Crossref]

Q. Chen, W. Yang, M. Feng, and J. F. Du, “Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators,” Phys. Rev. A 83, 054305 (2011).

[Crossref]

L. Zhou and Y. B. Sheng, “Complete logic Bell-state analysis assisted with photonic Faraday rotation,” Phys. Rev. A, 92, 042314 (2015).

[Crossref]

L. Zhou and Y. B. Sheng, “Detection of nonlocal atomic entanglement assisted by single photons,” Phys. Rev. A 90, 024301 (2014).

[Crossref]

Q. Liu and M. Zhang, “Generation and complete nondestructive analysis of hyperentanglement assisted by nitrogen-vacancy centers in resonators,” Phys. Rev. A 91, 062321 (2015).

[Crossref]

G. Y. Wang, Q. Liu, and F. G. Deng, “Hyperentanglement purification for two-photon six-qubit quantum systems,” Phys. Rev. A 94, 032319 (2016).

[Crossref]

B. C. Ren, G. Y. Wang, and F. G. Deng, “Universal hyperparallel hybrid photonic quantum gates with the dipole induced transparency in weak-coupling regime,” Phys. Rev. A 91, 032328 (2015).

[Crossref]

I. Friedler, D. Petrosyan, M. Fleischhauer, and G. Kurizki, “Long-range interactions and entanglement of slow single-photon pulses,” Phys. Rev. A 72, 043803 (2005).

[Crossref]

H. R. Wei and F. G. Deng, “Universal quantum gates for hybrid systems assisted by quantum dots inside double-sided optical microcavities,” Phys. Rev. A 87, 022305 (2013).

[Crossref]

J. D. Pritchard, J. A. Isaacs, M. A. Beck, R. McDermott, and M. Saffman, “Hybrid atom-photon quantum gate in a superconducting microwave resonator,” Phys. Rev. A 89, 010301 (2014).

[Crossref]

T. J. Wang and C. Wang, “Universal hybrid three-qubit quantum gates assisted by a nitrogen-vacancy center coupled with a whispering-gallery-mode microresonator,” Phys. Rev. A 90, 052310 (2014).

[Crossref]

T. Li and G. L. Long, “Hyperparallel optical quantum computation assisted by atomic ensembles embedded in double-sided optical cavities,” Phys. Rev. A 94, 022343 (2016).

[Crossref]

H. R. Wei and G. L. Long, “Universal photonic quantum gates assisted by ancilla diamond nitrogen-vacancy centers coupled to resonators,” Phys. Rev. A 91, 032324 (2015).

[Crossref]

H. R. Wei and F. G. Deng, “Compact quantum gates on electron-spin qubits assisted by diamond nitrogen-vacancy centers inside cavities,” Phys. Rev. A 88, 042323 (2013).

[Crossref]

X. K. Song, Q. Ai, J. Qiu, and F. G. Deng, “Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics,” Phys. Rev. A 93, 052324 (2016).

[Crossref]

E. Dennis, “Toward fault-tolerant quantum computation without concatenation,” Phys. Rev. A 63, 052314 (2001).

[Crossref]

L. M. Liang and C. Z. Li, “Realization of quantum SWAP gate between flying and stationary qubits,” Phys. Rev. A 72, 024303 (2005).

[Crossref]

G. Vidal and C. M. Dawson, “Universal quantum circuit for two-qubit transformations with three controlled-NOT gates,” Phys. Rev. A 69, 010301 (2004).

[Crossref]

F. Vatan and C. Williams, “Optimal quantum circuits for general two-qubit gates,” Phys. Rev. A 69, 032315 (2004).

[Crossref]

J. Zhang, J. Vala, S. Sastry, and K. B. Whaley, “Optimal quantum circuit synthesis from controlled-unitary gates,” Phys. Rev. A 69, 042309 (2004).

[Crossref]

V. V. Shende, I. L. Markov, and S. S. Bullock, “Minimal universal two-qubit controlled-NOT-based circuits,” Phys. Rev. A 69, 062321 (2004).

[Crossref]

V. V. Shende, S. S. Bullock, and I. L. Markov, “Recognizing small-circuit structure in two-qubit operators,” Phys. Rev. A 70, 012310 (2004).

[Crossref]

G. L. Long, “Grover algorithm with zero theoretical failure rate,” Phys. Rev. A 64, 022307 (2001).

[Crossref]

A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, “Elementary gates for quantum computation,” Phys. Rev. A 52, 3457 (1995).

[Crossref]
[PubMed]

C. Y. Hu, A. Young, J. L. O’Brien, W. J. Munro, and J. G. Rarity, “Giant optical Faraday rotation induced by a single-electron spin in a quantum dot: Applications to entangling remote spins via a single photon,” Phys. Rev. B 78, 085307 (2008).

[Crossref]

C. Y. Hu, W. J. Munro, J. L. O’Brien, and J. G. Rarity, “Proposed entanglement beam splitter using a quantum-dot spin in a double-sided optical microcavity,” Phys. Rev. B 80, 205326 (2009).

[Crossref]

M. Wallquist, V. S. Shumeiko, and G. Wendin, “Selective coupling of superconducting charge qubits mediated by a tunable stripline cavity,” Phys. Rev. B 74, 224506 (2006).

[Crossref]

A. Lenef and S. C. Rand, “Electronic structure of the N-V center in diamond: Theory,” Phys. Rev. B 53, 13441–13455 (1996).

[Crossref]

N. B. Manson, J. P. Harrison, and M. J. Sellars, “Nitrogen-vacancy center in diamond: Model of the electronic structure and associated dynamics,” Phys. Rev. B 74, 104303 (2006).

[Crossref]

Y. Eto, A. Noguchi, P. Zhang, M. Ueda, and M. Kozuma, “Projective measurement of a single nuclear spin qubit by using two-mode cavity QED,” Phys. Rev. Lett. 106, 160501 (2011).

[Crossref]
[PubMed]

A. O. Niskanen, J. J. Vartiainen, and M. M. Salomaa, “Optimal multiqubit operations for Josephson charge qubits,” Phys. Rev. Lett. 90, 197901 (2003).

[Crossref]
[PubMed]

C. Bonato, F. Haupt, S. S. Oemrawsingh, J. Gudat, D. Ding, M. P. van Exter, and D. Bouwmeester, “Bell-state analysis in the weak-coupling cavity QED regime,” Phys. Rev. lett. 104, 160503 (2010).

[Crossref]

L. K. Grover, “Quantum mechanics helps in searching for a needle in a haystack,” Phys. Rev. Lett. 79, 325 (1997).

[Crossref]

G. R. Feng, G. F. Xu, and G. L. Long, “Experimental realization of nonadiabatic Holonomic quantum computation,” Phys. Rev. Lett. 110, 190501 (2013).

[Crossref]
[PubMed]

D. G. Cory, M. D. Price, W. Maas, E. Knill, R. Laflamme, W. H. Zurek, T. F. Havel, and S. S. Somaroo, “Experimental quantum error correction,” Phys. Rev. Lett. 81, 2152 (1998).

[Crossref]

T. Sleator and H. Weinfurter, “Realizable universal quantum logic gate,” Phys. Rev. Lett. 74, 4087 (1995).

[Crossref]
[PubMed]

S. Sevinçli, N. Henkel, C. Ates, and T. Pohl, “Nonlocal nonlinear optics in cold Rydberg gases,” Phys. Rev. Lett. 107, 153001 (2011).

[Crossref]
[PubMed]

Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710 (1995).

[Crossref]
[PubMed]

L. M. Duan and H. J. Kimble, “Scalable photonic quantum computation through cavity-assisted interactions,” Phys. Rev. Lett. 92, 127902 (2004).

[Crossref]
[PubMed]

K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004).

[Crossref]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).

[Crossref]
[PubMed]

Y. Li, L. Aolita, D. E. Chang, and L. C. Kwek, “Robust-fidelity atom-photon entangling gates in the weak-coupling regime,” Phys. Rev. Lett. 109, 160504 (2012).

[Crossref]
[PubMed]

J. Borregaard, P. Komar, E. M. Kessler, A. S. Sørensen, and M. D. Lukin, “Heralded quantum gates with integrated error detection in optical cavities,” Phys. Rev. Lett. 114, 110502 (2015).

[Crossref]
[PubMed]

I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, “Bulk quantum computation with nuclear magnetic resonance: theory and experiment,” Proc. R. Soc. Lond. A 454, 447–467 (1998).

[Crossref]

Y. Y. Shi, “Both Toffoli and controlled-NOT need little help to universal quantum computing,” Quantum Inf. Comput. 3, 84–92 (2003).

L. Zhou and Y. B. Sheng, “Distributed secure quantum machine learning,” Sci. Bull. 62, 1025–1029 (2017).

[Crossref]

F. G. Deng, B. C. Ren, and X. H. Li, “Quantum hyperentanglement and its applications in quantum information processing,” Sci. Bull. 62, 46–68 (2017).

[Crossref]

Y. B. Sheng, J. Pan, R. Guo, L. Zhou, and L. Wang, “Efficient N-particle W state concentration with different parity check gates,” Sci. China: Phys., Mech. Astron. 58, 060301 (2015).

J. Zhou, B. J. Liu, Z. P. Hong, and Z. Y. Xue, “Fast holonomic quantum computation based on solid-state spins with all-optical control,” Sci. China: Phys., Mech. Astron. 61, 010312 (2018).

B. C. Ren and F. G. Deng, “Hyper-parallel photonic quantum computing with coupled quantum dots,” Sci. Rep. 4, 4623 (2014).

[Crossref]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum register based on individual electronic and nuclear spin qubits in diamond,” Science 316, 1312–1316 (2007).

[Crossref]
[PubMed]

L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science 314, 281–285 (2006).

[Crossref]
[PubMed]

G. D. Fuchs, V. V. Dobrovitski, D. M. Toyli, F. J. Heremans, and D. D. Awschalom, “Gigahertz dynamics of a strongly driven single quantum spin,” Science 326, 1520–1522 (2009).

[Crossref]
[PubMed]

B. B. Buckley, G. D. Fuchs, L. C. Bassett, and D. D. Awschalom, “Spin-light coherence for single-spin measurement and control in diamond,” Science 330, 1212–1215 (2010).

[Crossref]
[PubMed]

L. Jiang, J. S. Hodges, J. R. Maze, P. Maurer, J. M. Taylor, D. G. Cory, P. R. Hemmer, R. L. Walsworth, A. Yacoby, A. S. Zibrov, and M. D. Lukin, “Repetitive readout of a single electronic spin via quantum logic with nuclear spin ancillae,” Science 326, 267–272 (2009).

[Crossref]
[PubMed]

P. W. Shor, “Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,” SIAM J. Sci. Stat. Comput. 26, 1484–1509 (1997).

[Crossref]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information(Cambridge University Press, Cambridge, U.K., 2000).