Abstract

We present a deterministic scheme for generating large-scale atomic W states in a cavity QED system via a simple expansion mechanism, which is realized only by a detuned interaction between two identical atoms and a vacuum cavity mode. With the presented scheme, a W-type Bell pair can be created and an n-atom W state can be expanded to a 2n-atom W state with a unit probability of success in principle. No multi-atom gates, quantum memories or quantum non-demolition measurements are required, greatly simplifying the experimental realization of the scheme. The feasibility analysis shows that our expansion scheme can be implemented with state-of-the-art technologies. Our scheme enables advances not only in quantum information and communication but also in quantum thermodynamics, where atomic W states plays a crucial role.

© 2016 Optical Society of America

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References

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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
  30. C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  32. T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Elementary optical gate for expanding an entanglement web,” Phys. Rev. A 77(3), 030302 (2008).
    [Crossref]
  33. T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local expansion of photonic W state using a polarization-dependent beamsplitter,” New J. Phys. 11(2), 023024 (2009).
    [Crossref]
  34. T. Tashima, T. Kitano, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Demonstration of Local Expansion Toward Large-Scale Entangled Webs,” Phys. Rev. Lett. 105(21), 210503 (2010).
    [Crossref]
  35. R. Ikuta, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Optimal local expansion of W states using linear optics and Fock states,” Phys. Rev. A 83(1), 012314 (2011).
    [Crossref]
  36. T. Tashima, T. Wakatsuki, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local Transformation of Two Einstein-Podolsky-Rosen Photon Pairs into a Three-Photon W State,” Phys. Rev. Lett. 102(13), 130502 (2009).
    [Crossref] [PubMed]
  37. S. K. Ozdemir, E. Matsunaga, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “An optical fusion gate for W-states,” New J. Phys. 13(10), 103003 (2011).
    [Crossref]
  38. S. Bugu, C. Yesilyurt, and F. Ozaydin, “Enhancing the W-state quantum-network-fusion process with a single Fredkin gate,” Phys. Rev. A,  87(3), 032331 (2013).
    [Crossref]
  39. F. Ozaydin, S. Bugu, C. Yesilyurt, A. A. Altintas, M. Tame, and S. K. Özdemir, “Fusing multiple W states simultaneously with a Fredkin gate,” Phys. Rev. A 89(4), 042311 (2014).
    [Crossref]
  40. C. Yesilyurt, S. Bugu, and F. Ozaydin, “An optical gate for simultaneous fusion of four photonic W or Bell states,” Quantum Inf. Process 12(9), 2965–2975 (2013).
    [Crossref]
  41. X. P. Zang, M. Yang, X. C. Wang, and Z. L. Cao, “Fusion of W states in a cavity quantum electrodynamic system,” Can. J. Phys. 93, 556–560 (2015).
    [Crossref]
  42. X. P. Zang, M. Yang, F. Ozaydin, W. Song, and Z. L. Cao, “Generating multi-atom entangled W states via light-matter interface based fusion mechanism,” Sci. Rep. 5, 16245 (2015).
    [Crossref] [PubMed]
  43. X. P. Zang, M. Yang, W. F. Wu, S. D. Fang, and Z. L. Cao, “Local expansion of atomic W state in cavity quantum electrodynamics,” Indian J. Phys. 88(11), 1141–1145 (2014).
    [Crossref]
  44. C. Yesilyurt, S. Bugu, F. Diker, A. A. Altintas, and F. Ozaydin, “An Optical Setup for Deterministic Creation of Four Partite W state,” Acta Phys. Pol. A 127(4), 1230–1232 (2015).
    [Crossref]
  45. C. Yesilyurt, S. Bugu, F. Ozaydin, A. A. Altintas, M. Tame, L. Yang, and S. K. Ozdemir, “Deterministic Local Expansion of W States,” arXiv:quant-ph/1602.04166 (2016).
  46. S. B. Zheng and G. C. Guo, “Efficient Scheme for Two-Atom Entanglement and Quantum Information Processing in Cavity QED,” Phys. Rev. Lett. 85(11), 2392–2395 (2000).
    [Crossref] [PubMed]
  47. M. Yang and Z. L. Cao, “Quantum information processing using coherent states in cavity QED,” Physica A 366(1), 243–249 (2006).
    [Crossref]
  48. M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
    [Crossref] [PubMed]
  49. S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Coherent Control of an Atomic Collision in a Cavity,” Phys. Rev. Lett. 87(3), 037902 (2001).
    [Crossref] [PubMed]

2016 (1)

D. Turkpence and O. E. Mustecaplioglu, “Quantum fuel with multilevel atomic coherence for ultrahigh specific work in a photonic Carnot engine,” Phys. Rev. E 93(1), 012145 (2016).
[Crossref] [PubMed]

2015 (7)

A. U. C. Hardal and O. E. Mustecaplioglu, “Superradiant Quantum Heat Engine,” Sci. Rep. 5, 12953 (2015).
[Crossref] [PubMed]

F. Altintas, A. U. C. Hardal, and O. E. Mustecaplioglu, “Rabi model as a quantum coherent heat engine: From quantum biology to superconducting circuits,” Phys. Rev. A 91(2), 023816 (2015).
[Crossref]

S. Dogra, K. Dorai, and Arvind, “Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor,” Phys. Rev. A 91(2), 022312 (2015).
[Crossref]

D. Das, S. Dogra, K. Dorai, and Arvind, “Experimental construction of a W superposition state and its equivalence to the Greenberger-Horne-Zeilinger state under local filtration,” Phys. Rev. A 92(2), 022307 (2015).
[Crossref]

X. P. Zang, M. Yang, X. C. Wang, and Z. L. Cao, “Fusion of W states in a cavity quantum electrodynamic system,” Can. J. Phys. 93, 556–560 (2015).
[Crossref]

X. P. Zang, M. Yang, F. Ozaydin, W. Song, and Z. L. Cao, “Generating multi-atom entangled W states via light-matter interface based fusion mechanism,” Sci. Rep. 5, 16245 (2015).
[Crossref] [PubMed]

C. Yesilyurt, S. Bugu, F. Diker, A. A. Altintas, and F. Ozaydin, “An Optical Setup for Deterministic Creation of Four Partite W state,” Acta Phys. Pol. A 127(4), 1230–1232 (2015).
[Crossref]

2014 (2)

X. P. Zang, M. Yang, W. F. Wu, S. D. Fang, and Z. L. Cao, “Local expansion of atomic W state in cavity quantum electrodynamics,” Indian J. Phys. 88(11), 1141–1145 (2014).
[Crossref]

F. Ozaydin, S. Bugu, C. Yesilyurt, A. A. Altintas, M. Tame, and S. K. Özdemir, “Fusing multiple W states simultaneously with a Fredkin gate,” Phys. Rev. A 89(4), 042311 (2014).
[Crossref]

2013 (5)

C. Yesilyurt, S. Bugu, and F. Ozaydin, “An optical gate for simultaneous fusion of four photonic W or Bell states,” Quantum Inf. Process 12(9), 2965–2975 (2013).
[Crossref]

S. Bugu, C. Yesilyurt, and F. Ozaydin, “Enhancing the W-state quantum-network-fusion process with a single Fredkin gate,” Phys. Rev. A,  87(3), 032331 (2013).
[Crossref]

M. H. Devoret and R. J. Schoelkopf, “Superconducting Circuits for Quantum Information: An Outlook,” Science 339(6124), 1169–1174 (2013).
[Crossref] [PubMed]

S. Y. Huang, H. S. Goan, X. Q. Li, and G. J. Milburn, “Generation and stabilization of a three-qubit entangled W state in circuit QED via quantum feedback control,” Phys. Rev. A 88(6), 062311 (2013).
[Crossref]

J. Shi, P. Xu, M. L. Zhong, Y. X. Gong, Y. F. Bai, W. J. Yu, Q. W. Li, H. Jin, and S. N. Zhu, “Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal,” Opt. Exp. 21 (7), 7875–7881 (2013).
[Crossref]

2011 (3)

R. Ikuta, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Optimal local expansion of W states using linear optics and Fock states,” Phys. Rev. A 83(1), 012314 (2011).
[Crossref]

W. Liu, Y. B. Wang, and Z. T. Jiang, “An efficient protocol for the quantum private comparison of equality with W state,” Opt. Comm. 284(12), 3160–3163 (2011).
[Crossref]

S. K. Ozdemir, E. Matsunaga, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “An optical fusion gate for W-states,” New J. Phys. 13(10), 103003 (2011).
[Crossref]

2010 (2)

T. Tashima, T. Kitano, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Demonstration of Local Expansion Toward Large-Scale Entangled Webs,” Phys. Rev. Lett. 105(21), 210503 (2010).
[Crossref]

L. M. Duan and C. Monroe, “Colloquium: Quantum networks with trapped ions,” Rev. Mod. Phys. 82(2), 1209–1224 (2010).
[Crossref]

2009 (3)

T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local expansion of photonic W state using a polarization-dependent beamsplitter,” New J. Phys. 11(2), 023024 (2009).
[Crossref]

T. Tashima, T. Wakatsuki, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local Transformation of Two Einstein-Podolsky-Rosen Photon Pairs into a Three-Photon W State,” Phys. Rev. Lett. 102(13), 130502 (2009).
[Crossref] [PubMed]

L. Pezze and A. Smerzi, “Entanglement, Nonlinear Dynamics, and the Heisenberg Limit,” Phys. Rev. Lett. 102(10), 100401 (2009).
[Crossref] [PubMed]

2008 (1)

T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Elementary optical gate for expanding an entanglement web,” Phys. Rev. A 77(3), 030302 (2008).
[Crossref]

2007 (1)

J. Wang, Q. Zhang, and C. J. Tang, “Quantum Secure Communication Scheme with W State,” Commun. Theor. Phys. 48(4), 637–640 (2007).
[Crossref]

2006 (5)

H. J. Cao and H. S. Song, “Quantum Secure Direct Communication with W State,” Chin. Phys. Lett. 23(2), 290–292 (2006).
[Crossref]

E. D’Hondt and P. Panangaden, “The computational power of the W and GHZ states,” Quantum Inf. Comput. 6(2), 173–183 (2006).

Z. J. Deng, M. Feng, and K. L. Gao, “Simple scheme for generating an n-qubit W state in cavity QED,” Phys. Rev. A 73(1), 014302 (2006).
[Crossref]

Z. J. Deng, K. L. Gao, and M. Feng, “Generation of N-qubit W states with rf SQUID qubits by adiabatic passage,” Phys. Rev. A 74(6), 064303 (2006).
[Crossref]

M. Yang and Z. L. Cao, “Quantum information processing using coherent states in cavity QED,” Physica A 366(1), 243–249 (2006).
[Crossref]

2005 (2)

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
[Crossref] [PubMed]

L. M. K. Vandersypen and I. L. Chuang, “NMR techniques for quantum control and computation,” Rev. Mod. Phys. 76(4), 1037–1069 (2005).
[Crossref]

2004 (2)

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental Realization of a Three-Qubit Entangled W State,” Phys. Rev. Lett. 92(7), 077901 (2004).
[Crossref] [PubMed]

C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
[Crossref] [PubMed]

2002 (2)

R. Laflamme, D. Cory, C. Negrevergne, and L. Viola, “NMR quantum information processing and entanglement,” Quant. Inf. Comp. 2(2), 166–176 (2002).

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74(1), 145–195 (2002).
[Crossref]

2001 (2)

W. Dür, “Multipartite entanglement that is robust against disposal of particles,” Phys. Rev. A 63(2), 020303 (2001).
[Crossref]

S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Coherent Control of an Atomic Collision in a Cavity,” Phys. Rev. Lett. 87(3), 037902 (2001).
[Crossref] [PubMed]

2000 (2)

S. B. Zheng and G. C. Guo, “Efficient Scheme for Two-Atom Entanglement and Quantum Information Processing in Cavity QED,” Phys. Rev. Lett. 85(11), 2392–2395 (2000).
[Crossref] [PubMed]

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62(6), 062314 (2000).
[Crossref]

1998 (1)

A. Steane, “Quantum Computing,” Rep. Prog. Phys. 61(2), 117–173 (1998).
[Crossref]

1996 (1)

M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
[Crossref] [PubMed]

1993 (1)

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels,” Phys. Rev. Lett. 70(13), 1895–1899 (1993).
[Crossref] [PubMed]

1992 (1)

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without Bell’s theorem,” Phys. Rev. Lett. 68(5), 557–559 (1992).
[Crossref] [PubMed]

1990 (1)

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, “Bell’s theorem without inequalities,” Am. J. Phys. 58(12), 1131–1143 (1990).
[Crossref]

Altintas, A. A.

C. Yesilyurt, S. Bugu, F. Diker, A. A. Altintas, and F. Ozaydin, “An Optical Setup for Deterministic Creation of Four Partite W state,” Acta Phys. Pol. A 127(4), 1230–1232 (2015).
[Crossref]

F. Ozaydin, S. Bugu, C. Yesilyurt, A. A. Altintas, M. Tame, and S. K. Özdemir, “Fusing multiple W states simultaneously with a Fredkin gate,” Phys. Rev. A 89(4), 042311 (2014).
[Crossref]

C. Yesilyurt, S. Bugu, F. Ozaydin, A. A. Altintas, M. Tame, L. Yang, and S. K. Ozdemir, “Deterministic Local Expansion of W States,” arXiv:quant-ph/1602.04166 (2016).

Altintas, F.

F. Altintas, A. U. C. Hardal, and O. E. Mustecaplioglu, “Rabi model as a quantum coherent heat engine: From quantum biology to superconducting circuits,” Phys. Rev. A 91(2), 023816 (2015).
[Crossref]

Arvind,

S. Dogra, K. Dorai, and Arvind, “Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor,” Phys. Rev. A 91(2), 022312 (2015).
[Crossref]

D. Das, S. Dogra, K. Dorai, and Arvind, “Experimental construction of a W superposition state and its equivalence to the Greenberger-Horne-Zeilinger state under local filtration,” Phys. Rev. A 92(2), 022307 (2015).
[Crossref]

Auffeves, A.

S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Coherent Control of an Atomic Collision in a Cavity,” Phys. Rev. Lett. 87(3), 037902 (2001).
[Crossref] [PubMed]

Bai, Y. F.

J. Shi, P. Xu, M. L. Zhong, Y. X. Gong, Y. F. Bai, W. J. Yu, Q. W. Li, H. Jin, and S. N. Zhu, “Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal,” Opt. Exp. 21 (7), 7875–7881 (2013).
[Crossref]

Becher, C.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
[Crossref] [PubMed]

C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
[Crossref] [PubMed]

Benhelm, J.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
[Crossref] [PubMed]

C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
[Crossref] [PubMed]

Bennett, C. H.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels,” Phys. Rev. Lett. 70(13), 1895–1899 (1993).
[Crossref] [PubMed]

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without Bell’s theorem,” Phys. Rev. Lett. 68(5), 557–559 (1992).
[Crossref] [PubMed]

Bertet, P.

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H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
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C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
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M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental Realization of a Three-Qubit Entangled W State,” Phys. Rev. Lett. 92(7), 077901 (2004).
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C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels,” Phys. Rev. Lett. 70(13), 1895–1899 (1993).
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C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without Bell’s theorem,” Phys. Rev. Lett. 68(5), 557–559 (1992).
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S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Coherent Control of an Atomic Collision in a Cavity,” Phys. Rev. Lett. 87(3), 037902 (2001).
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M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
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Bugu, S.

C. Yesilyurt, S. Bugu, F. Diker, A. A. Altintas, and F. Ozaydin, “An Optical Setup for Deterministic Creation of Four Partite W state,” Acta Phys. Pol. A 127(4), 1230–1232 (2015).
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F. Ozaydin, S. Bugu, C. Yesilyurt, A. A. Altintas, M. Tame, and S. K. Özdemir, “Fusing multiple W states simultaneously with a Fredkin gate,” Phys. Rev. A 89(4), 042311 (2014).
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S. Bugu, C. Yesilyurt, and F. Ozaydin, “Enhancing the W-state quantum-network-fusion process with a single Fredkin gate,” Phys. Rev. A,  87(3), 032331 (2013).
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C. Yesilyurt, S. Bugu, and F. Ozaydin, “An optical gate for simultaneous fusion of four photonic W or Bell states,” Quantum Inf. Process 12(9), 2965–2975 (2013).
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C. Yesilyurt, S. Bugu, F. Ozaydin, A. A. Altintas, M. Tame, L. Yang, and S. K. Ozdemir, “Deterministic Local Expansion of W States,” arXiv:quant-ph/1602.04166 (2016).

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H. J. Cao and H. S. Song, “Quantum Secure Direct Communication with W State,” Chin. Phys. Lett. 23(2), 290–292 (2006).
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X. P. Zang, M. Yang, F. Ozaydin, W. Song, and Z. L. Cao, “Generating multi-atom entangled W states via light-matter interface based fusion mechanism,” Sci. Rep. 5, 16245 (2015).
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X. P. Zang, M. Yang, X. C. Wang, and Z. L. Cao, “Fusion of W states in a cavity quantum electrodynamic system,” Can. J. Phys. 93, 556–560 (2015).
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X. P. Zang, M. Yang, W. F. Wu, S. D. Fang, and Z. L. Cao, “Local expansion of atomic W state in cavity quantum electrodynamics,” Indian J. Phys. 88(11), 1141–1145 (2014).
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M. Yang and Z. L. Cao, “Quantum information processing using coherent states in cavity QED,” Physica A 366(1), 243–249 (2006).
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H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
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L. M. K. Vandersypen and I. L. Chuang, “NMR techniques for quantum control and computation,” Rev. Mod. Phys. 76(4), 1037–1069 (2005).
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Chwalla, M.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
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W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62(6), 062314 (2000).
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Cory, D.

R. Laflamme, D. Cory, C. Negrevergne, and L. Viola, “NMR quantum information processing and entanglement,” Quant. Inf. Comp. 2(2), 166–176 (2002).

Crépeau, C.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels,” Phys. Rev. Lett. 70(13), 1895–1899 (1993).
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D’Hondt, E.

E. D’Hondt and P. Panangaden, “The computational power of the W and GHZ states,” Quantum Inf. Comput. 6(2), 173–183 (2006).

Dag, C. B.

C. B. Dag and O. E. Mustecaplioglu, “Classification of quantum coherences for quantum thermalization,” arXiv:quant-ph/1507.08136 (2015).

C. B. Dag, F. Ozaydin, and O. E. Mustecaplioglu, manuscript in preparation.

Das, D.

D. Das, S. Dogra, K. Dorai, and Arvind, “Experimental construction of a W superposition state and its equivalence to the Greenberger-Horne-Zeilinger state under local filtration,” Phys. Rev. A 92(2), 022307 (2015).
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Deng, Z. J.

Z. J. Deng, M. Feng, and K. L. Gao, “Simple scheme for generating an n-qubit W state in cavity QED,” Phys. Rev. A 73(1), 014302 (2006).
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Z. J. Deng, K. L. Gao, and M. Feng, “Generation of N-qubit W states with rf SQUID qubits by adiabatic passage,” Phys. Rev. A 74(6), 064303 (2006).
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M. H. Devoret and R. J. Schoelkopf, “Superconducting Circuits for Quantum Information: An Outlook,” Science 339(6124), 1169–1174 (2013).
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Diker, F.

C. Yesilyurt, S. Bugu, F. Diker, A. A. Altintas, and F. Ozaydin, “An Optical Setup for Deterministic Creation of Four Partite W state,” Acta Phys. Pol. A 127(4), 1230–1232 (2015).
[Crossref]

Dogra, S.

D. Das, S. Dogra, K. Dorai, and Arvind, “Experimental construction of a W superposition state and its equivalence to the Greenberger-Horne-Zeilinger state under local filtration,” Phys. Rev. A 92(2), 022307 (2015).
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S. Dogra, K. Dorai, and Arvind, “Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor,” Phys. Rev. A 91(2), 022312 (2015).
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Dorai, K.

S. Dogra, K. Dorai, and Arvind, “Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor,” Phys. Rev. A 91(2), 022312 (2015).
[Crossref]

D. Das, S. Dogra, K. Dorai, and Arvind, “Experimental construction of a W superposition state and its equivalence to the Greenberger-Horne-Zeilinger state under local filtration,” Phys. Rev. A 92(2), 022307 (2015).
[Crossref]

Dreyer, J.

M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
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Duan, L. M.

L. M. Duan and C. Monroe, “Colloquium: Quantum networks with trapped ions,” Rev. Mod. Phys. 82(2), 1209–1224 (2010).
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Dür, W.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
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W. Dür, “Multipartite entanglement that is robust against disposal of particles,” Phys. Rev. A 63(2), 020303 (2001).
[Crossref]

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62(6), 062314 (2000).
[Crossref]

Eibl, M.

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental Realization of a Three-Qubit Entangled W State,” Phys. Rev. Lett. 92(7), 077901 (2004).
[Crossref] [PubMed]

Fang, S. D.

X. P. Zang, M. Yang, W. F. Wu, S. D. Fang, and Z. L. Cao, “Local expansion of atomic W state in cavity quantum electrodynamics,” Indian J. Phys. 88(11), 1141–1145 (2014).
[Crossref]

Feng, M.

Z. J. Deng, M. Feng, and K. L. Gao, “Simple scheme for generating an n-qubit W state in cavity QED,” Phys. Rev. A 73(1), 014302 (2006).
[Crossref]

Z. J. Deng, K. L. Gao, and M. Feng, “Generation of N-qubit W states with rf SQUID qubits by adiabatic passage,” Phys. Rev. A 74(6), 064303 (2006).
[Crossref]

Gao, K. L.

Z. J. Deng, K. L. Gao, and M. Feng, “Generation of N-qubit W states with rf SQUID qubits by adiabatic passage,” Phys. Rev. A 74(6), 064303 (2006).
[Crossref]

Z. J. Deng, M. Feng, and K. L. Gao, “Simple scheme for generating an n-qubit W state in cavity QED,” Phys. Rev. A 73(1), 014302 (2006).
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Gisin, N.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74(1), 145–195 (2002).
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Goan, H. S.

S. Y. Huang, H. S. Goan, X. Q. Li, and G. J. Milburn, “Generation and stabilization of a three-qubit entangled W state in circuit QED via quantum feedback control,” Phys. Rev. A 88(6), 062311 (2013).
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Gong, Y. X.

J. Shi, P. Xu, M. L. Zhong, Y. X. Gong, Y. F. Bai, W. J. Yu, Q. W. Li, H. Jin, and S. N. Zhu, “Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal,” Opt. Exp. 21 (7), 7875–7881 (2013).
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Greenberger, D. M.

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, “Bell’s theorem without inequalities,” Am. J. Phys. 58(12), 1131–1143 (1990).
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Gühne, O.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
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Guo, G. C.

S. B. Zheng and G. C. Guo, “Efficient Scheme for Two-Atom Entanglement and Quantum Information Processing in Cavity QED,” Phys. Rev. Lett. 85(11), 2392–2395 (2000).
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Häffner, H.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
[Crossref] [PubMed]

C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
[Crossref] [PubMed]

Hagley, E.

M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
[Crossref] [PubMed]

Hänsel, W.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
[Crossref] [PubMed]

C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
[Crossref] [PubMed]

Hardal, A. U. C.

F. Altintas, A. U. C. Hardal, and O. E. Mustecaplioglu, “Rabi model as a quantum coherent heat engine: From quantum biology to superconducting circuits,” Phys. Rev. A 91(2), 023816 (2015).
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A. U. C. Hardal and O. E. Mustecaplioglu, “Superradiant Quantum Heat Engine,” Sci. Rep. 5, 12953 (2015).
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Haroche, S.

S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Coherent Control of an Atomic Collision in a Cavity,” Phys. Rev. Lett. 87(3), 037902 (2001).
[Crossref] [PubMed]

M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
[Crossref] [PubMed]

Horne, M. A.

D. M. Greenberger, M. A. Horne, A. Shimony, and A. Zeilinger, “Bell’s theorem without inequalities,” Am. J. Phys. 58(12), 1131–1143 (1990).
[Crossref]

Huang, S. Y.

S. Y. Huang, H. S. Goan, X. Q. Li, and G. J. Milburn, “Generation and stabilization of a three-qubit entangled W state in circuit QED via quantum feedback control,” Phys. Rev. A 88(6), 062311 (2013).
[Crossref]

Ikuta, R.

R. Ikuta, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Optimal local expansion of W states using linear optics and Fock states,” Phys. Rev. A 83(1), 012314 (2011).
[Crossref]

Imoto, N.

R. Ikuta, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Optimal local expansion of W states using linear optics and Fock states,” Phys. Rev. A 83(1), 012314 (2011).
[Crossref]

S. K. Ozdemir, E. Matsunaga, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “An optical fusion gate for W-states,” New J. Phys. 13(10), 103003 (2011).
[Crossref]

T. Tashima, T. Kitano, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Demonstration of Local Expansion Toward Large-Scale Entangled Webs,” Phys. Rev. Lett. 105(21), 210503 (2010).
[Crossref]

T. Tashima, T. Wakatsuki, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local Transformation of Two Einstein-Podolsky-Rosen Photon Pairs into a Three-Photon W State,” Phys. Rev. Lett. 102(13), 130502 (2009).
[Crossref] [PubMed]

T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local expansion of photonic W state using a polarization-dependent beamsplitter,” New J. Phys. 11(2), 023024 (2009).
[Crossref]

T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Elementary optical gate for expanding an entanglement web,” Phys. Rev. A 77(3), 030302 (2008).
[Crossref]

Jang, J.

J. Joo, J. Lee, J. Jang, and Y. J. Park, “Quantum Secure Communication with W States,” arXiv:quant-ph/0204003v2 (2002).

Jiang, Z. T.

W. Liu, Y. B. Wang, and Z. T. Jiang, “An efficient protocol for the quantum private comparison of equality with W state,” Opt. Comm. 284(12), 3160–3163 (2011).
[Crossref]

Jin, H.

J. Shi, P. Xu, M. L. Zhong, Y. X. Gong, Y. F. Bai, W. J. Yu, Q. W. Li, H. Jin, and S. N. Zhu, “Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal,” Opt. Exp. 21 (7), 7875–7881 (2013).
[Crossref]

Joo, J.

J. Joo, J. Lee, J. Jang, and Y. J. Park, “Quantum Secure Communication with W States,” arXiv:quant-ph/0204003v2 (2002).

Jozsa, R.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels,” Phys. Rev. Lett. 70(13), 1895–1899 (1993).
[Crossref] [PubMed]

Kaler, F. S.

C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
[Crossref] [PubMed]

Kiesel, N.

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental Realization of a Three-Qubit Entangled W State,” Phys. Rev. Lett. 92(7), 077901 (2004).
[Crossref] [PubMed]

Kitano, T.

T. Tashima, T. Kitano, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Demonstration of Local Expansion Toward Large-Scale Entangled Webs,” Phys. Rev. Lett. 105(21), 210503 (2010).
[Crossref]

Koashi, M.

R. Ikuta, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Optimal local expansion of W states using linear optics and Fock states,” Phys. Rev. A 83(1), 012314 (2011).
[Crossref]

S. K. Ozdemir, E. Matsunaga, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “An optical fusion gate for W-states,” New J. Phys. 13(10), 103003 (2011).
[Crossref]

T. Tashima, T. Kitano, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Demonstration of Local Expansion Toward Large-Scale Entangled Webs,” Phys. Rev. Lett. 105(21), 210503 (2010).
[Crossref]

T. Tashima, T. Wakatsuki, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local Transformation of Two Einstein-Podolsky-Rosen Photon Pairs into a Three-Photon W State,” Phys. Rev. Lett. 102(13), 130502 (2009).
[Crossref] [PubMed]

T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local expansion of photonic W state using a polarization-dependent beamsplitter,” New J. Phys. 11(2), 023024 (2009).
[Crossref]

T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Elementary optical gate for expanding an entanglement web,” Phys. Rev. A 77(3), 030302 (2008).
[Crossref]

Körber, T.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
[Crossref] [PubMed]

Kurtsiefer, C.

M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, and H. Weinfurter, “Experimental Realization of a Three-Qubit Entangled W State,” Phys. Rev. Lett. 92(7), 077901 (2004).
[Crossref] [PubMed]

Laflamme, R.

R. Laflamme, D. Cory, C. Negrevergne, and L. Viola, “NMR quantum information processing and entanglement,” Quant. Inf. Comp. 2(2), 166–176 (2002).

Lancaster, G. P. T.

C. F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. P. T. Lancaster, C. Becher, F. S. Kaler, and R. Blatt, “Control and Measurement of Three-Qubit Entangled States,” Science 304 (5676), 1478–1480 (2004).
[Crossref] [PubMed]

Lee, J.

J. Joo, J. Lee, J. Jang, and Y. J. Park, “Quantum Secure Communication with W States,” arXiv:quant-ph/0204003v2 (2002).

Li, Q. W.

J. Shi, P. Xu, M. L. Zhong, Y. X. Gong, Y. F. Bai, W. J. Yu, Q. W. Li, H. Jin, and S. N. Zhu, “Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal,” Opt. Exp. 21 (7), 7875–7881 (2013).
[Crossref]

Li, X. Q.

S. Y. Huang, H. S. Goan, X. Q. Li, and G. J. Milburn, “Generation and stabilization of a three-qubit entangled W state in circuit QED via quantum feedback control,” Phys. Rev. A 88(6), 062311 (2013).
[Crossref]

Liu, W.

W. Liu, Y. B. Wang, and Z. T. Jiang, “An efficient protocol for the quantum private comparison of equality with W state,” Opt. Comm. 284(12), 3160–3163 (2011).
[Crossref]

Maali, A.

M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
[Crossref] [PubMed]

Maioli, P.

S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J. M. Raimond, and S. Haroche, “Coherent Control of an Atomic Collision in a Cavity,” Phys. Rev. Lett. 87(3), 037902 (2001).
[Crossref] [PubMed]

Maitre, X.

M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
[Crossref] [PubMed]

Matsunaga, E.

S. K. Ozdemir, E. Matsunaga, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “An optical fusion gate for W-states,” New J. Phys. 13(10), 103003 (2011).
[Crossref]

Mermin, N. D.

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without Bell’s theorem,” Phys. Rev. Lett. 68(5), 557–559 (1992).
[Crossref] [PubMed]

Milburn, G. J.

S. Y. Huang, H. S. Goan, X. Q. Li, and G. J. Milburn, “Generation and stabilization of a three-qubit entangled W state in circuit QED via quantum feedback control,” Phys. Rev. A 88(6), 062311 (2013).
[Crossref]

Monroe, C.

L. M. Duan and C. Monroe, “Colloquium: Quantum networks with trapped ions,” Rev. Mod. Phys. 82(2), 1209–1224 (2010).
[Crossref]

Mustecaplioglu, O. E.

D. Turkpence and O. E. Mustecaplioglu, “Quantum fuel with multilevel atomic coherence for ultrahigh specific work in a photonic Carnot engine,” Phys. Rev. E 93(1), 012145 (2016).
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S. K. Ozdemir, E. Matsunaga, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “An optical fusion gate for W-states,” New J. Phys. 13(10), 103003 (2011).
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F. Ozaydin, S. Bugu, C. Yesilyurt, A. A. Altintas, M. Tame, and S. K. Özdemir, “Fusing multiple W states simultaneously with a Fredkin gate,” Phys. Rev. A 89(4), 042311 (2014).
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T. Tashima, T. Wakatsuki, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local Transformation of Two Einstein-Podolsky-Rosen Photon Pairs into a Three-Photon W State,” Phys. Rev. Lett. 102(13), 130502 (2009).
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M. Brune, E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, “Observing the Progressive Decoherence of the Meter in a Quantum Measurement,” Phys. Rev. Lett. 77(24), 4887–4890 (1996).
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X. P. Zang, M. Yang, F. Ozaydin, W. Song, and Z. L. Cao, “Generating multi-atom entangled W states via light-matter interface based fusion mechanism,” Sci. Rep. 5, 16245 (2015).
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C. Yesilyurt, S. Bugu, F. Ozaydin, A. A. Altintas, M. Tame, L. Yang, and S. K. Ozdemir, “Deterministic Local Expansion of W States,” arXiv:quant-ph/1602.04166 (2016).

Yu, W. J.

J. Shi, P. Xu, M. L. Zhong, Y. X. Gong, Y. F. Bai, W. J. Yu, Q. W. Li, H. Jin, and S. N. Zhu, “Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal,” Opt. Exp. 21 (7), 7875–7881 (2013).
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X. P. Zang, M. Yang, F. Ozaydin, W. Song, and Z. L. Cao, “Generating multi-atom entangled W states via light-matter interface based fusion mechanism,” Sci. Rep. 5, 16245 (2015).
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J. Wang, Q. Zhang, and C. J. Tang, “Quantum Secure Communication Scheme with W State,” Commun. Theor. Phys. 48(4), 637–640 (2007).
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Zhu, S. N.

J. Shi, P. Xu, M. L. Zhong, Y. X. Gong, Y. F. Bai, W. J. Yu, Q. W. Li, H. Jin, and S. N. Zhu, “Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal,” Opt. Exp. 21 (7), 7875–7881 (2013).
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Acta Phys. Pol. A (1)

C. Yesilyurt, S. Bugu, F. Diker, A. A. Altintas, and F. Ozaydin, “An Optical Setup for Deterministic Creation of Four Partite W state,” Acta Phys. Pol. A 127(4), 1230–1232 (2015).
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Am. J. Phys. (1)

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Can. J. Phys. (1)

X. P. Zang, M. Yang, X. C. Wang, and Z. L. Cao, “Fusion of W states in a cavity quantum electrodynamic system,” Can. J. Phys. 93, 556–560 (2015).
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Chin. Phys. Lett. (1)

H. J. Cao and H. S. Song, “Quantum Secure Direct Communication with W State,” Chin. Phys. Lett. 23(2), 290–292 (2006).
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Commun. Theor. Phys. (1)

J. Wang, Q. Zhang, and C. J. Tang, “Quantum Secure Communication Scheme with W State,” Commun. Theor. Phys. 48(4), 637–640 (2007).
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Indian J. Phys. (1)

X. P. Zang, M. Yang, W. F. Wu, S. D. Fang, and Z. L. Cao, “Local expansion of atomic W state in cavity quantum electrodynamics,” Indian J. Phys. 88(11), 1141–1145 (2014).
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Nature (1)

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438(7068), 643–646 (2005).
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New J. Phys. (2)

T. Tashima, S. K. Ozdemir, T. Yamamoto, M. Koashi, and N. Imoto, “Local expansion of photonic W state using a polarization-dependent beamsplitter,” New J. Phys. 11(2), 023024 (2009).
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S. K. Ozdemir, E. Matsunaga, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “An optical fusion gate for W-states,” New J. Phys. 13(10), 103003 (2011).
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Opt. Comm. (1)

W. Liu, Y. B. Wang, and Z. T. Jiang, “An efficient protocol for the quantum private comparison of equality with W state,” Opt. Comm. 284(12), 3160–3163 (2011).
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Opt. Exp. (1)

J. Shi, P. Xu, M. L. Zhong, Y. X. Gong, Y. F. Bai, W. J. Yu, Q. W. Li, H. Jin, and S. N. Zhu, “Heralded generation of multipartite entanglement for one photon by using a single two-dimensional nonlinear photonic crystal,” Opt. Exp. 21 (7), 7875–7881 (2013).
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C. B. Dag and O. E. Mustecaplioglu, “Classification of quantum coherences for quantum thermalization,” arXiv:quant-ph/1507.08136 (2015).

C. B. Dag, F. Ozaydin, and O. E. Mustecaplioglu, manuscript in preparation.

J. Joo, J. Lee, J. Jang, and Y. J. Park, “Quantum Secure Communication with W States,” arXiv:quant-ph/0204003v2 (2002).

C. Yesilyurt, S. Bugu, F. Ozaydin, A. A. Altintas, M. Tame, L. Yang, and S. K. Ozdemir, “Deterministic Local Expansion of W States,” arXiv:quant-ph/1602.04166 (2016).

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Figures (1)

Fig. 1
Fig. 1 The setup for deterministic generation of a four-atom W state from four atoms illustrated with blue, red, red and blue spheres, respectively, initially in the separable state |ga1|ea2|gb2|gb1. In Step 1, an EPR pair is prepared, which is then expanded in Step 2 to a W state of four atoms, illustrated with green spheres labeled as a1′, a2′, b2′ and b1′.

Equations (9)

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H i = g j = 1 , 2 ( e i δ t a S j + e i δ t a S j + ) ,
H = λ [ j = 1 , 2 ( | e j e j | a a | g j g j | a a ) + ( S 1 + S 2 + S 1 S 2 + ) ] ,
H eff = λ [ j = 1 , 2 | e j e j | + ( S 1 + S 2 + S 1 S 2 + ) ] .
| e 1 | e 2 e i 2 λ t | e 1 | e 2 , | e 1 | g 2 e i λ t ( cos λ t | e 1 | g 2 i sin λ t | g 1 | e 2 ) , | g 1 | e 2 e i λ t ( cos λ t | g 1 | e 2 i sin λ t | e 1 | g 2 ) , | g 1 | g 2 | g 1 | g 2 ,
| W 2 = 1 2 ( | e a 2 | g b 2 i | g a 2 | e b 2 )
| W 4 = 1 4 ( | g e g g a 1 a 2 b 1 b 2 i | e g g g g a 1 a 2 b 1 b 2 i | g g g e a 1 a 2 b 1 b 2 | g g e g a 1 a 2 b 1 b 2 ) ,
| ( n 1 ) g a 1 ˜ | e a 1 | n g | 2 ( n 1 ) g | W 2 ,
| W n 1 a 1 ˜ | g a 1 | n g | W 2 ( n 1 ) | 2 g .
| W 2 n = 1 n [ | 2 ( n 1 ) g | W 2 + n 1 | W 2 ( n 1 ) | 2 g ] ,

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