Abstract

High-dimensional entangled states of light provide novel possibilities for quantum information, from fundamental tests of quantum mechanics to enhanced computation and communication protocols. In this context, the frequency degree of freedom combines the assets of robustness to propagation and easy handling with standard telecommunication components. Here, we use an integrated semiconductor chip to engineer the wavefunction and exchange statistics of frequency-entangled photon pairs directly at the generation stage, without post-manipulation. Tailoring the spatial properties of the pump beam allows generating frequency-anticorrelated, correlated and separable states, and to control the symmetry of the spectral wavefunction to induce either bosonic or fermionic behaviors. These results, obtained at room temperature and telecom wavelength, open promising perspectives for the quantum simulation of fermionic problems with photons on an integrated platform, as well as for communication and computation protocols exploiting antisymmetric high-dimensional quantum states.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2020 (1)

G. Maltese, M. Amanti, F. Appas, G. Sinnl, A. Lemaitre, P. Milman, F. Baboux, and S. Ducci, “Generation and symmetry control of quantum frequency combs,” NPJ Quantum Inf. 6, 13 (2020).
[Crossref]

2019 (2)

H. Chen, K. Laiho, B. Pressl, A. Schlager, H. Suchomel, M. Kamp, S. Höfling, C. Schneider, and G. Weihs, “Optimizing the spectro-temporal properties of photon pairs from Bragg-reflection waveguides,” J. Opt. 21, 054001 (2019).
[Crossref]

M. Kues, C. Reimer, J. M. Lukens, W. J. Munro, A. M. Weiner, D. J. Moss, and R. Morandotti, “Quantum optical microcombs,” Nat. Photonics 13, 170 (2019).
[Crossref]

2018 (10)

J. Belhassen, F. Baboux, Q. Yao, M. Amanti, I. Favero, A. Lematre, W. Kolthammer, I. Walmsley, and S. Ducci, “On-chip III-V monolithic integration of heralded single photon sources and beamsplitters,” Appl. Phys. Lett. 112, 071105 (2018).
[Crossref]

R.-B. Jin, R. Shiina, and R. Shimizu, “Quantum manipulation of biphoton spectral distributions in a 2D frequency space toward arbitrary shaping of a biphoton wave packet,” Opt. Express 26, 21153–21158 (2018).
[Crossref]

V. Ansari, E. Roccia, M. Santandrea, M. Doostdar, C. Eigner, L. Padberg, I. Gianani, M. Sbroscia, J. M. Donohue, L. Mancino, M. Barbieri, and C. Silberhorn, “Heralded generation of high-purity ultrashort single photons in programmable temporal shapes,” Opt. Express 26, 2764–2774 (2018).
[Crossref]

F. Graffitti, P. Barrow, M. Proietti, D. Kundys, and A. Fedrizzi, “Independent high-purity photons created in domain-engineered crystals,” Optica 5, 514–517 (2018).
[Crossref]

J. Wang, S. Paesani, Y. Ding, R. Santagati, P. Skrzypczyk, A. Salavrakos, J. Tura, R. Augusiak, L. Mančinska, D. Bacco, D. Bonneau, J. W. Silverstone, Q. Gong, A. Acín, K. Rottwitt, L. K. Oxenløwe, J. L. O’Brien, A. Laing, and M. G. Thompson, “Multidimensional quantum entanglement with large-scale integrated optics,” Science 360, 285–291 (2018).
[Crossref]

V. Ansari, J. M. Donohue, M. Allgaier, L. Sansoni, B. Brecht, J. Roslund, N. Treps, G. Harder, and C. Silberhorn, “Tomography and purification of the temporal-mode structure of quantum light,” Phys. Rev. Lett. 120, 213601 (2018).
[Crossref]

V. Ansari, J. M. Donohue, B. Brecht, and C. Silberhorn, “Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings,” Optica 5, 534–550 (2018).
[Crossref]

J.-P. W. MacLean, J. M. Donohue, and K. J. Resch, “Direct characterization of ultrafast energy-time entangled photon pairs,” Phys. Rev. Lett. 120, 053601 (2018).
[Crossref]

A. O. Davis, V. Thiel, M. Karpiński, and B. J. Smith, “Measuring the single-photon temporal-spectral wave function,” Phys. Rev. Lett. 121, 083602 (2018).
[Crossref]

M. Schwartz, E. Schmidt, U. Rengstl, F. Hornung, S. Hepp, S. L. Portalupi, K. Llin, M. Jetter, M. Siegel, and P. Michler, “Fully on-chip single-photon Hanbury-Brown and Twiss experiment on a monolithic semiconductor–superconductor platform,” Nano Lett. 18, 6892–6897 (2018).
[Crossref]

2017 (3)

M. Barbieri, E. Roccia, L. Mancino, M. Sbroscia, I. Gianani, and F. Sciarrino, “What Hong–Ou–Mandel interference says on two-photon frequency entanglement,” Sci. Rep. 7, 7247 (2017).
[Crossref]

M. Kues, C. Reimer, P. Roztocki, L. R. Cortés, S. Sciara, B. Wetzel, Y. Zhang, A. Cino, S. T. Chu, B. E. Little, D. J. Moss, L. Caspani, J. Azaña, and R. Morandotti, “On-chip generation of high-dimensional entangled quantum states and their coherent control,” Nature 546, 622 (2017).
[Crossref]

A. S. Solntsev and A. A. Sukhorukov, “Path-entangled photon sources on nonlinear chips,” Rev. Phys. 2, 19–31 (2017).
[Crossref]

2016 (3)

J. M. Donohue, M. Mastrovich, and K. J. Resch, “Spectrally engineering photonic entanglement with a time lens,” Phys. Rev. Lett. 117, 243602 (2016).
[Crossref]

Y. Zhang, F. S. Roux, T. Konrad, M. Agnew, J. Leach, and A. Forbes, “Engineering two-photon high-dimensional states through quantum interference,” Sci. Adv. 2, e1501165 (2016).
[Crossref]

C. P. Dietrich, A. Fiore, M. G. Thompson, M. Kamp, and S. Höfling, “GaAs integrated quantum photonics: towards compact and multi-functional quantum photonic integrated circuits,” Laser Photon. Rev. 10, 870–894 (2016).
[Crossref]

2015 (4)

N. Tischler, A. Büse, L. G. Helt, M. L. Juan, N. Piro, J. Ghosh, M. J. Steel, and G. Molina-Terriza, “Measurement and shaping of biphoton spectral wave functions,” Phys. Rev. Lett. 115, 193602 (2015).
[Crossref]

A. Crespi, L. Sansoni, G. Della Valle, A. Ciamei, R. Ramponi, F. Sciarrino, P. Mataloni, S. Longhi, and R. Osellame, “Particle statistics affects quantum decay and Fano interference,” Phys. Rev. Lett. 114, 090201 (2015).
[Crossref]

G. Boucher, T. Douce, D. Bresteau, S. P. Walborn, A. Keller, T. Coudreau, S. Ducci, and P. Milman, “Toolbox for continuous-variable entanglement production and measurement using spontaneous parametric down-conversion,” Phys. Rev. A 92, 023804 (2015).
[Crossref]

I. Walmsley, “Quantum optics: science and technology in a new light,” Science 348, 525–530 (2015).
[Crossref]

2014 (8)

R. Kumar, J. R. Ong, M. Savanier, and S. Mookherjea, “Controlling the spectrum of photons generated on a silicon nanophotonic chip,” Nat. Commun. 5, 5489 (2014).
[Crossref]

T. Lutz, P. Kolenderski, and T. Jennewein, “Demonstration of spectral correlation control in a source of polarization-entangled photon pairs at telecom wavelength,” Opt. Lett. 39, 1481–1484 (2014).
[Crossref]

S. K. Goyal, P. E. Boukama-Dzoussi, S. Ghosh, F. S. Roux, and T. Konrad, “Qudit-teleportation for photons with linear optics,” Sci. Rep. 4, 4543 (2014).
[Crossref]

P. Apiratikul, J. J. Wathen, G. A. Porkolab, B. Wang, L. He, T. E. Murphy, and C. J. Richardson, “Enhanced continuous-wave four-wave mixing efficiency in nonlinear AlGaAs waveguides,” Opt. Express 22, 26814–26824 (2014).
[Crossref]

A. Eckstein, G. Boucher, A. Lemaître, P. Filloux, I. Favero, G. Leo, J. E. Sipe, M. Liscidini, and S. Ducci, “High-resolution spectral characterization of two photon states via classical measurements,” Laser Photon. Rev. 8, L76–L80 (2014).
[Crossref]

J. Roslund, R. M. De Araujo, S. Jiang, C. Fabre, and N. Treps, “Wavelength-multiplexed quantum networks with ultrafast frequency combs,” Nat. Photonics 8, 109 (2014).
[Crossref]

J. Wang, A. Santamato, P. Jiang, D. Bonneau, E. Engin, J. W. Silverstone, M. Lermer, J. Beetz, M. Kamp, S. Höfling, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, S. N. Dorenbos, V. Zwiller, J. L. O’Brien, and M. G. Thompson, “Gallium arsenide quantum photonic waveguide circuits,” Opt. Commun. 327, 49–55 (2014).
[Crossref]

F. Boitier, A. Orieux, C. Autebert, A. Lemaître, E. Galopin, C. Manquest, C. Sirtori, I. Favero, G. Leo, and S. Ducci, “Electrically injected photon-pair source at room temperature,” Phys. Rev. Lett. 112, 183901 (2014).
[Crossref]

2013 (8)

B. Brecht and C. Silberhorn, “Characterizing entanglement in pulsed parametric down-conversion using chronocyclic Wigner functions,” Phys. Rev. A 87, 053810 (2013).
[Crossref]

R. T. Horn, P. Kolenderski, D. Kang, P. Abolghasem, C. Scarcella, A. Della Frera, A. Tosi, L. G. Helt, S. V. Zhukovsky, J. E. Sipe, G. Weihs, A. S. Helmy, and T. Jennewein, “Inherent polarization entanglement generated from a monolithic semiconductor chip,” Sci. Rep. 3, 2314 (2013).
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R. Kumar, J. R. Ong, J. Recchio, K. Srinivasan, and S. Mookherjea, “Spectrally multiplexed and tunable-wavelength photon pairs at 1.55  µm from a silicon coupled-resonator optical waveguide,” Opt. Lett. 38, 2969–2971 (2013).
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2012 (1)

R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, “Quantum entanglement of high angular momenta,” Science 338, 640–643 (2012).
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2011 (3)

A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson, “Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities,” Nat. Phys. 7, 677 (2011).
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D. Tasca, R. Gomes, F. Toscano, P. S. Ribeiro, and S. Walborn, “Continuous-variable quantum computation with spatial degrees of freedom of photons,” Phys. Rev. A 83, 052325 (2011).
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2010 (1)

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, “Polarization entangled state measurement on a chip,” Phys. Rev. Lett. 105, 200503 (2010).
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2009 (4)

X. Caillet, V. Berger, G. Leo, and S. Ducci, “A semiconductor source of counterpropagating twin photons: a versatile device allowing the control of the two-photon state,” J. Mod. Opt. 56, 232–239 (2009).
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B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’brien, A. Gilchrist, and A. G. White, “Simplifying quantum logic using higher-dimensional Hilbert spaces,” Nat. Phys. 5, 134 (2009).
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2008 (3)

J. T. Barreiro, T.-C. Wei, and P. G. Kwiat, “Beating the channel capacity limit for linear photonic superdense coding,” Nat. Phys. 4, 282 (2008).
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P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
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A. Eckstein and C. Silberhorn, “Broadband frequency mode entanglement in waveguided parametric downconversion,” Opt. Lett. 33, 1825–1827 (2008).
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2007 (3)

C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91 (2007).
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A. Valencia, A. Ceré, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping the waveform of entangled photons,” Phys. Rev. Lett. 99, 243601 (2007).
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A. F. Abouraddy, T. Yarnall, B. E. Saleh, and M. C. Teich, “Violation of Bell’s inequality with continuous spatial variables,” Phys. Rev. A 75, 052114 (2007).
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2005 (1)

A. Pe’er, B. Dayan, A. A. Friesem, and Y. Silberberg, “Temporal shaping of entangled photons,” Phys. Rev. Lett. 94, 073601 (2005).
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2003 (3)

S. P. Walborn, A. N. de Oliveira, S. Pádua, and C. H. Monken, “Multimode Hong–Ou–Mandel interference,” Phys. Rev. Lett. 90, 143601 (2003).
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I. Jex, G. Alber, S. Barnett, and A. Delgado, “Antisymmetric multi-partite quantum states and their applications,” Fortschr. Phys. 51, 172–178 (2003).
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2002 (3)

A. De Rossi and V. Berger, “Counterpropagating twin photons by parametric fluorescence,” Phys. Rev. Lett. 88, 043901 (2002).
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N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, “Security of quantum key distribution using d-level systems,” Phys. Rev. Lett. 88, 127902 (2002).
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D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, “Bell inequalities for arbitrarily high-dimensional systems,” Phys. Rev. Lett. 88, 040404 (2002).
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Supplementary Material (1)

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» Supplement 1       Supplementary Information

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Figures (4)

Fig. 1.
Fig. 1. (a) Sketch of the AlGaAs ridge microcavity emitting photon pairs by PDC in a transverse pump geometry. (b)–(e) Sketch of the experiment, showing the pump shaping stage (b), stimulated emission tomography (c), fiber spectrograph (d), and Hong–Ou–Mandel (e) setups. Abbreviations: SLM, spatial light modulator; WFA, wavefront analyzer; PBS, polarizing beam splitter; FPC, fibered polarization controller; P, polarizer; HWP, half-wave plate; F, filter; DCF, dispersion compensating fiber; OSA, optical spectrum analyzer; SPAD, single-photon avalanche photodiode; TDC, time-to-digital converter.
Fig. 2.
Fig. 2. Measured joint spectral intensities (JSI) for increasing values of the pump beam waist: (a) 0.25 mm, (b) 0.4 mm, (c) 0.6 mm, and (d) 1 mm. (e)–(h) Numerically simulated JSI for the above parameters. $ {\lambda _s} $ and $ {\lambda _i} $ denote the wavelength of the signal and idler photons, respectively.
Fig. 3.
Fig. 3. (a) Sketch of the pumping geometry to control the symmetry of the biphoton quantum frequency state. (b)–(f) Measured JSI for increasing values of the phase step $ \Delta \varphi $ between the two halves of the pump beam. (g)–(k) Corresponding simulated JSI.
Fig. 4.
Fig. 4. (a) Measured JSI for a Gaussian pump beam, leading to a symmetric frequency-entangled state. (b) Corresponding measured and (c) calculated coincidences in a Hong–Ou–Mandel experiment, and (d) calculated chronocyclic Wigner function $ {W_ - } $ (normalized so that $ \pm 1 $ corresponds to a HOM dip (peak) of full visibility). (e)–(h) Same as (a)–(d) but when applying a $ \pi $ phase step at the center of the pump beam, leading to an antisymmetric frequency-entangled state. Experimental data correspond to raw (uncorrected) coincidence counts.

Equations (3)

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J S A ( ω s , ω i ) = ϕ s p e c t r a l ( ω s + ω i ) ϕ P M ( ω s ω i ) .
ϕ P M ( ω s ω i ) = L / 2 L / 2 d z A p ( z ) e i ( k d e g + ( ω s ω i ) / v g ) z ,
ϕ P M ( ω s , ω i ) = f ( ω s , ω i ) + e i Δ φ f ( ω i , ω s ) ,

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