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Uniform Hiding and Two Routes to Relative Accuracy in Gaussian Boson Sampling

Zhao, Hongru
arXiv (OAI Expanded) · Papers
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60b20quantum-physics
Gaussian boson sampling requires control of how closely finite optical matrices follow Gaussian reference laws. We prove an explicit total variation bound of order $N^2/M$ between a rescaled Haar transpose Gram block and its Gaussian transpose Gram counterpart, where $N$ is the detected photon count
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