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arXiv · 2211.03999

A polynomial-time classical algorithm for noisy random circuit sampling

Dorit Aharonov·Xun Gao·Zeph Landau·Yunchao Liu·Umesh Vazirani
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Abstract

We give a polynomial time classical algorithm for sampling from the output distribution of a noisy random quantum circuit in the regime of anti-concentration to within inverse polynomial total variation distance. This gives strong evidence that, in the presence of a constant rate of noise per gate, random circuit sampling (RCS) cannot be the basis of a scalable experimental violation of the extended Church-Turing thesis. Our algorithm is not practical in its current form, and does not address finite-size RCS based quantum supremacy experiments.

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Dorit Aharonov, Xun Gao, Zeph Landau, Yunchao Liu, Umesh Vazirani. 2022-11-08. A polynomial-time classical algorithm for noisy random circuit sampling. https://doi.org/10.1145/3564246.3585234

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