Statistical Analysis for Collision-free Boson Sampling

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作者
He-Liang Huang
Han-Sen Zhong
Tan Li
Feng-Guang Li
Xiang-Qun Fu
Shuo Zhang
Xiang Wang
Wan-Su Bao
机构
[1] Zhengzhou Information Science and Technology Institute,Henan Key Laboratory of Quantum Information and Cryptography
[2] University of Science and Technology of China,CAS Centre for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics
[3] University of Science and Technology of China,Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics
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Boson sampling is strongly believed to be intractable for classical computers but solvable with photons in linear optics, which raises widespread concern as a rapid way to demonstrate the quantum supremacy. However, due to its solution is mathematically unverifiable, how to certify the experimental results becomes a major difficulty in the boson sampling experiment. Here, we develop a statistical analysis scheme to experimentally certify the collision-free boson sampling. Numerical simulations are performed to show the feasibility and practicability of our scheme, and the effects of realistic experimental conditions are also considered, demonstrating that our proposed scheme is experimentally friendly. Moreover, our broad approach is expected to be generally applied to investigate multi-particle coherent dynamics beyond the boson sampling.
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