Two-dimensional quantum walks of correlated photons
Open accessAbstract
Quantum walks in an elaborately designed graph are a powerful tool for simulating physical and topological phenomena, constructing novel quantum algorithms, and realizing universal quantum computing. Integrated photonics technology has emerged as a versatile platform for implementing a variety of quantum information tasks and as a promising candidate for performing large-scale quantum walks. Both extending physical dimensions and involving more particles will increase the complexity of the evolving systems. Pioneering studies have demonstrated a single particle walking on two-dimensional lattices and multiple walkers interfering on a one-dimensional structure. However, multiple particles evolving in a genuine two-dimensional space in a scalable fashion has remained a vacancy for nearly 10 years. We present a genuine two-dimensional quantum walk with correlated photons on a triangular photonic lattice, which is mapped to a 37 × 37 high-dimensional state space. The genuine two-dimensional quantum walk breaks through the physical restrictions of single-particle evolution, allowing for the encoding of information in large spaces and construction of high-dimensional graphs, which are beneficial for quantum information processing. Between the chip and the two-dimensional fanout interface, site-by-site addressing enables simultaneous detection of over 600 nonclassical interferences and observation of quantum correlations that violate a classical limit by 57 standard deviations. Our…
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Recent works reported 2D continuous-time quantum walks of correlated photons, relying on arrays of coupled waveguides, and important results have also been achieved by means of superconductive quantum processors.
“Recent works reported 2D continuous-time quantum walks of correlated photons, relying on arrays of coupled waveguides 21,38,52 , and important results have been also achieved by means of superconductive quantum processors 6 .”
From Quantum walks of two correlated photons in a 2D synthetic lattice (2022) · cites this paper as [38]
Multiparticle regimes have been implemented in continuous-time quantum walks, even in 2D lattices.
“Multiparticle regimes have been already implemented in continuous-time QWs [47][48][49] , even in 2D lattices 38 .”
From Quantum walks of two correlated photons in a 2D synthetic lattice (2022) · cites this paper as [38]
Cites
Quantum Computing in the NISQ era and beyond
Preskill, J. (2018) · Quantum · doi:10.22331/q-2018-08-06-79 · Cited by 8,830 · see citing works
Measurement of subpicosecond time intervals between two photons by interference
Hong, C. K., Ou, Z. Y., & Mandel, L. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2044 · Cited by 4,369 · see citing works
Quantum computational advantage using photons
Zhong, H.-S., Wang, H., Deng, Y.-H., Chen, M.-C., Peng, L.-C., Luo, Y.-H., Qin, J., Wu, D., Ding, X., Hu, Y., et al. (2020) · Science · doi:10.1126/science.abe8770 · Cited by 2,405 · see citing works
Aharonov, Y., Davidovich, L., & Zagury, N. (1993) · Physical Review A · doi:10.1103/physreva.48.1687 · Cited by 1,622 · see citing works
Quantum random-walk search algorithm
Shenvi, N., Kempe, J., & Whaley, K. B. (2003) · Physical Review A · doi:10.1103/physreva.67.052307 · Cited by 1,150 · see citing works
Universal Computation by Quantum Walk
Childs, A. M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.180501 · Cited by 1,002 · see citing works
Quantum Walks of Correlated Photons
Peruzzo, A., Lobino, M., Matthews, J. C. F., Matsuda, N., Politi, A., Poulios, K., Zhou, X.-Q., Lahini, Y., Ismail, N., Wörhoff, K., et al. (2010) · Science · doi:10.1126/science.1193515 · Cited by 929 · see citing works
Exponential algorithmic speedup by a quantum walk
Childs, A. M., Cleve, R., Deotto, E., Farhi, E., Gutmann, S., & Spielman, D. A. (2003) · Proceedings of the thirty-fifth annual ACM symposium on Theory of computing · doi:10.1145/780542.780552 · Cited by 825 · see citing works
Discrete optics in femtosecond-laser-written photonic structures
Szameit, A., & Nolte, S. (2010) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/43/16/163001 · Cited by 610 · see citing works
Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations
Schreiber, A., Cassemiro, K. N., Potoček, V., Gábris, A., Mosley, P. J., Andersson, E., Jex, I., & Silberhorn, C. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.050502 · Cited by 588 · see citing works
Two-Particle Bosonic-Fermionic Quantum Walk via Integrated Photonics
Sansoni, L., Sciarrino, F., Vallone, G., Mataloni, P., Crespi, A., Ramponi, R., & Osellame, R. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.010502 · Cited by 578 · see citing works
Photonic topological boundary pumping as a probe of 4D quantum Hall physics
Zilberberg, O., Huang, S., Guglielmon, J., Wang, M., Chen, K. P., Kraus, Y. E., & Rechtsman, M. C. (2018) · Nature · doi:10.1038/nature25011 · Cited by 533 · see citing works
Quantum and Classical Correlations in Waveguide Lattices
Bromberg, Y., Lahini, Y., Morandotti, R., & Silberberg, Y. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.253904 · Cited by 318 · see citing works
Quantum walk on the line as an interference phenomenon
Knight, P. L., Roldán, E., & Sipe, J. E. (2003) · Physical Review A · doi:10.1103/physreva.68.020301 · Cited by 176 · see citing works
Two-photon quantum walk in a multimode fiber
Defienne, H., Barbieri, M., Walmsley, I. A., Smith, B. J., & Gigan, S. (2016) · Science Advances · doi:10.1126/sciadv.1501054 · Cited by 168 · see citing works
Quantum Walks of Correlated Photon Pairs in Two-Dimensional Waveguide Arrays
Poulios, K., Keil, R., Fry, D., Meinecke, J. D. A., Matthews, J. C. F., Politi, A., Lobino, M., Gräfe, M., Heinrich, M., Nolte, S., et al. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.143604 · Cited by 148 · see citing works
Two-photon quantum walks in an elliptical direct-write waveguide array
Owens, J. O., Broome, M. A., Biggerstaff, D. N., Goggin, M. E., Fedrizzi, A., Linjordet, T., Ams, M., Marshall, G. D., Twamley, J., Withford, M. J., et al. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/7/075003 · Cited by 135 · see citing works
Enhancing coherent transport in a photonic network using controllable decoherence
Biggerstaff, D. N., Heilmann, R., Zecevik, A. A., Gräfe, M., Broome, M. A., Fedrizzi, A., Nolte, S., Szameit, A., White, A. G., & Kassal, I. (2016) · Nature Communications · doi:10.1038/ncomms11282 · Cited by 117 · see citing works
Photonic Bloch oscillations of correlated particles
Longhi, S. (2011) · Optics Letters · doi:10.1364/ol.36.003248 · Cited by 61 · see citing works
Biphoton generation in quadratic waveguide arrays: A classical optical simulation
Gräfe, M., Solntsev, A. S., Keil, R., Sukhorukov, A. A., Heinrich, M., Tünnermann, A., Nolte, S., Szameit, A., & Kivshar, Y. S. (2012) · Scientific Reports · doi:10.1038/srep00562 · Cited by 44 · see citing works
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Quantum walks of two correlated photons in a 2D synthetic lattice
Esposito, C., Barros, M. R., Durán Hernández, A., Carvacho, G., Di Colandrea, F., Barboza, R., Cardano, F., Spagnolo, N., Marrucci, L., & Sciarrino, F. (2022) · npj Quantum Information · doi:10.1038/s41534-022-00544-0 · Cited by 36 · see citing works
Multi-particle quantum walks on 3D integrated photonic chip
Zhou, W.-H., Wang, X.-W., Ren, R.-J., Fu, Y.-X., Chang, Y.-J., Xu, X.-Y., Tang, H., & Jin, X.-M. (2024) · Light: Science & Applications · doi:10.1038/s41377-024-01627-7 · Cited by 16 · see citing works
Self-citationTunable Generation of Spatial Entanglement in Nonlinear Waveguide Arrays
Raymond, A., Zecchetto, A., Palomo, J., Morassi, M., Lemaître, A., Raineri, F., Amanti, M. I., Ducci, S., & Baboux, F. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.233602 · Cited by 11 · see citing works
Experimental realization of quantum walks near synthetic horizons on photonic lattices
He, R., Zhao, Y., Sheng, C., Duan, J., Wei, Y., Sun, C., Lu, L., Gong, Y.-X., Zhu, S., & Liu, H. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.013233 · Cited by 5 · see citing works
- Authors
- Jiao, Z.-Q., Gao, J., Zhou, W.-H., Wang, X.-W., Ren, R.-J., Xu, X.-Y., Qiao, L.-F., Wang, Y., & Jin, X.-M.
- Affiliations
- University of Science and Technology of China (CN)
- Shanghai Jiao Tong University
- ORCID
- Venue
- Optica
- Publisher
- Optica Publishing Group
- Published
- 2021-08-24
- Volume
- 8
- Issue
- 9
- Pages
- 1129
- ISSN
- 2334-2536 (ISSN-L)
- OpenAlex
- W3195170156
- Cited by
- 43
- References
- 20
- Citations by year
- 2026: 2 · 2025: 10 · 2024: 11 · 2023: 5 · 2022: 12 · 2021: 3
- FWCI
- 2.73
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Optica (publishedVersion)
- Funders
- Shanghai Municipal Education Commission (2017-01-07-00-02-E00049)
- Science and Technology Commission of Shanghai Municipality (17JC1400403)
- National Natural Science Foundation of China (11690033, 11761141014, 61734005)
- National Key Research and Development Program of China (2017YFA0303700, 2019YFA0308700)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- two-dimensional quantum walk, correlated photons, integrated photonics, high-dimensional state spaces, quantum correlations, quantum simulation, quantum computing
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