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Two-Dimensional Quantum Walk of Correlated Photons

2020/07/13 by Zhi‐Qiang Jiao, Zhi-Qiang Jiao, Jiao, Zhi-Qiang +18 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computer science #FOS: Physical sciences #Mathematics #Neural Networks and Reservoir Computing #Open quantum system #Optics (physics.optics) #Photon #Photonics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum algorithm #Quantum computer #Quantum information #Quantum mechanics #Quantum network #Quantum simulator #Quantum technology #Quantum walk #Statistical physics #Topology (electrical circuits) #physics.optics #quant-ph

paper · pdf · doi:10.48550/arxiv.2007.06554

published in arXiv (Cornell University) (Cornell University) · 22 pages, 5 figures, 2 extended data figures

arxiv created 2020/07/13 · openalex publication_date 2020/07/13 · arxiv updated 2020/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

Quantum walks in an elaborately designed graph, is a powerful tool simulating physical and topological phenomena, constructing analog quantum algorithms and realizing universal quantum computing. Integrated photonics technology has emerged as a versatile platform to implement various quantum information tasks and a promising candidate to perform large-scale quantum walks. Both extending physical dimensions and involving more particles will increase the complexity of the evolving systems and the desired quantum resources. Pioneer works have demonstrated single particle walking on two-dimensional (2D) lattices and multiple walkers interfering on a one-dimensional structure. However, 2D multi-particle quantum walk, genuinely being not classically simulatable, has been a vacancy for nearly ten years. Here, we present a genuine 2D quantum walk with correlated photons on a triangular photonic lattice, which can be mapped to a state space up to 37X37 dimensions. This breaks through the physically restriction of single-particle evolution, which can encode information in a large space and constitute high-dimensional graphs indeed beneficial to quantum information processing. A site-by-site addressing between the chip facet and the 2D fanout interface enables an observation of over 600 non-classical interferences simultaneously, violating a classical limit up to 57 standard deviations. Our platform offers a promising prospect for multi-photon quantum walks in a large-scale 2D arrangement, paving the way for practical quantum simulation and quantum computation beyond classical regime.

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