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arXiv · 2309.07027

High performance Boson Sampling simulation via data-flow engines

Gregory Morse·Tomasz Rybotycki·Ágoston Kaposi·Zoltán Kolarovszki·Uroš Stojčić·Tamás Kozsik·Oskar Mencer·Michał Oszmaniec·Zoltán Zimborás·Péter Rakyta
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Abstract

In this work, we generalize the Balasubramanian-Bax-Franklin-Glynn (BB/FG) permanent formula to account for row multiplicities during the permanent evaluation and reduce the complexity of permanent evaluation in scenarios where such multiplicities occur. This is achieved by incorporating n-ary Gray code ordering of the addends during the evaluation. We implemented the designed algorithm on FPGA-based data-flow engines and utilized the developed accessory to speed up boson sampling simulations up to $40$ photons, by drawing samples from a $60$ mode interferometer at an averaged rate of $\sim80$ seconds per sample utilizing $4$ FPGA chips. We also show that the performance of our BS simulator is in line with the theoretical estimation of Clifford \& Clifford \cite{clifford2020faster} providing a way to define a single parameter to characterize the performance of the BS simulator in a portable way. The developed design can be used to simulate both ideal and lossy boson sampling experiments.

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Gregory Morse, Tomasz Rybotycki, Ágoston Kaposi, Zoltán Kolarovszki, Uroš Stojčić, Tamás Kozsik, Oskar Mencer, Michał Oszmaniec, Zoltán Zimborás, Péter Rakyta. 2023-09-13. High performance Boson Sampling simulation via data-flow engines. https://doi.org/10.1088/1367-2630%2Fad313b

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