Quantum software for linear photonic simulations

Abstract

The search for new, application-specific quantum computers designed to outperform any classical computer is driven by the ending of Moore's law and the quantum advantages potentially obtainable. Photonic networks are promising examples, with experimental demonstrations and potential for obtaining a quantum computer to solve problems believed classically impossible. This introduces a challenge: how does one design or understand such photonic networks? We develop novel complex phase-space software for simulating these photonic networks, and apply this to boson sampling experiments. Our techniques give sampling errors orders of magnitude lower than experimental measurements of correlations, for the same number of samples. We show that these techniques remove systematic errors in previous algorithms for estimating correlations, with order of magnitude improvements in errors in some cases. In addition to that, we obtain a scalable channel-combination strategy for assessment of boson sampling devices.

The material is published with a new title as arXiv:1802.06576

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Cited by in corpus (13)

• Simulating complex networks in phase space: Gaussian boson sampling
• Efficient verification of Boson Sampling
• Nonlocal pair correlations in a higher-order Bose gas soliton
• Robustness of quantum Fourier transform interferometry
• Initial states and apodisation for quantum field simulations in phase-space
• Multi-time correlations in the positive-P, Q, and doubled phase-space representations
• Simulating macroscopic quantum correlations in linear networks
• Phase-space simulations of feedback coherent Ising machines
• Exact recursive calculation of circulant permanents: A band of different diagonals inside a uniform matrix
• Approximating outcome probabilities of linear optical circuits
• Matrix phase-space representations for gaussian boson sampling
• Realistic photon-number resolution in Gaussian boson sampling
• Complexity order of multiple resource algorithms