Matrix phase-space representations for gaussian boson sampling

Abstract:We introduce coherent matrix phase-space distributions. These use conservation laws and symmetries to improve the accuracy and speed of quantum phase-space representations. As an example, this is applied to validation of low-loss Gaussian boson sampling (GBS) quantum computational advantage experiments, where classical generation of the random photon-number counts is exponentially hard. Large improvements in sampling errors are demonstrated compared to previous methods. Matrix phase-space representations also provide a large numerical speed-up, due to their (at worst) quadratic scaling, compared to other methods for validating total count probabilities of large-scale, low-loss GBS networks.

Quantum Physics (quant-ph); Mathematical Physics (math-ph); Computational Physics (physics.comp-ph)

arXiv:2503.12749 [quant-ph]

(or arXiv:2503.12749v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2503.12749 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. Lett. 136, 013601, 2026

https://doi.org/10.1103/htk1-rn8v Focus to learn more DOI(s) linking to related resources

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