A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling

Dorit Aharonov; Xun Gao; Zeph Landau; Yunchao Liu; Umesh Vazirani

doi:10.1145/3564246.3585234

A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling

Dorit Aharonov, Xun Gao, Zeph Landau, Yunchao Liu, Umesh Vazirani

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

41 Scopus citations

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. The algorithm is based on a quantum analog of noise induced low degree approximations of Boolean functions, which takes the form of the truncation of a Feynman path integral in the Pauli basis.

Original language	English
Title of host publication	STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing
Editors	Barna Saha, Rocco A. Servedio
Publisher	Association for Computing Machinery
Pages	945-957
Number of pages	13
ISBN (Electronic)	9781450399135
DOIs	https://doi.org/10.1145/3564246.3585234
State	Published - 2 Jun 2023
Event	55th Annual ACM Symposium on Theory of Computing, STOC 2023 - Orlando, United States Duration: 20 Jun 2023 → 23 Jun 2023

Publication series

Name	Proceedings of the Annual ACM Symposium on Theory of Computing
ISSN (Print)	0737-8017

Conference

Conference	55th Annual ACM Symposium on Theory of Computing, STOC 2023
Country/Territory	United States
City	Orlando
Period	20/06/23 → 23/06/23

Bibliographical note

Publisher Copyright:
© 2023 Owner/Author.

Keywords

Quantum supremacy
Random circuit sampling

Access to Document

10.1145/3564246.3585234

Cite this

Aharonov, D., Gao, X., Landau, Z., Liu, Y., & Vazirani, U. (2023). A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling. In B. Saha, & R. A. Servedio (Eds.), STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing (pp. 945-957). (Proceedings of the Annual ACM Symposium on Theory of Computing). Association for Computing Machinery. https://doi.org/10.1145/3564246.3585234

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Aharonov, D, Gao, X, Landau, Z, Liu, Y & Vazirani, U 2023, A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling. in B Saha & RA Servedio (eds), STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing. Proceedings of the Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, pp. 945-957, 55th Annual ACM Symposium on Theory of Computing, STOC 2023, Orlando, United States, 20/06/23. https://doi.org/10.1145/3564246.3585234

A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling. / Aharonov, Dorit; Gao, Xun; Landau, Zeph et al.
STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing. ed. / Barna Saha; Rocco A. Servedio. Association for Computing Machinery, 2023. p. 945-957 (Proceedings of the Annual ACM Symposium on Theory of Computing).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Aharonov D, Gao X, Landau Z, Liu Y, Vazirani U. A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling. In Saha B, Servedio RA, editors, STOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing. Association for Computing Machinery. 2023. p. 945-957. (Proceedings of the Annual ACM Symposium on Theory of Computing). doi: 10.1145/3564246.3585234

A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling

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