A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

16 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 languageAmerican English
Title of host publicationSTOC 2023 - Proceedings of the 55th Annual ACM Symposium on Theory of Computing
EditorsBarna Saha, Rocco A. Servedio
PublisherAssociation for Computing Machinery
Pages945-957
Number of pages13
ISBN (Electronic)9781450399135
DOIs
StatePublished - 2 Jun 2023
Event55th Annual ACM Symposium on Theory of Computing, STOC 2023 - Orlando, United States
Duration: 20 Jun 202323 Jun 2023

Publication series

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

Conference

Conference55th Annual ACM Symposium on Theory of Computing, STOC 2023
Country/TerritoryUnited States
CityOrlando
Period20/06/2323/06/23

Bibliographical note

Publisher Copyright:
© 2023 Owner/Author.

Keywords

  • Quantum supremacy
  • Random circuit sampling

Fingerprint

Dive into the research topics of 'A Polynomial-Time Classical Algorithm for Noisy Random Circuit Sampling'. Together they form a unique fingerprint.

Cite this