Cited by 152Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum Mechanics and Applications

Computational advantage of quantum random sampling

Open access
Hangleiter, Dominik, Eisert, Jens·2023·Reviews of Modern Physics

Abstract

Quantum computers have improved and recent experiments have claimed quantum advantage -- completion of a computational task that is evidently hard for any conventional computer. The problem solved is that of obtaining samples, by quantum measurement, from a certain probability distribution. This review shows in what precise way quantum random sampling can be seen as a computation. It explains what that computation solves, in what way it outperforms classical computations, and what methods of verification are available. Quantum random sampling becomes a first test of the presumed exponential computational advantage of quantum computers over classical ones.

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Registry

Crossref · 10.1103/revmodphys.95.035001

Cites

369 of 369 references verified0 citation errors · 0 not checkable

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  • Because the classical difficulty of sampling from the outputs of random quantum circuits has been extremely well studied over the past decade, RCS provides a well-vetted benchmark for the computational power of a quantum computer.

    “At the same time, because the classical difficulty of sampling from the outputs of random quantum circuits has been extremely well studied over the past decade100, RCS provides a well-vetted benchmark for the computational power of a quantum computer.”

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Authors
Hangleiter, D., & Eisert, J.
Affiliations
National Institute of Standards and Technology (US)
Corresponding author
Hangleiter, Dominik
Venue
Reviews of Modern Physics
Published
2023-07-20
Volume
95
Issue
3
ISSN
  • 0034-6861 (ISSN-L)
  • 1539-0756
OpenAlex
W4384935381
Cited by
145
References
377
Citations by year
2026: 29 · 2025: 66 · 2024: 36 · 2023: 12 · 2022: 2
FWCI
12.66
Type
journal article
Language
en
Open access
Locations
  • Reviews of Modern Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Refubium (Universitätsbibliothek der Freien Universität Berlin) (submittedVersion)
  • HZB Repository (Helmholtz-Zentrum Berlin für Materialien und Energie GmbH (HZB)) (submittedVersion)
  • Fraunhofer-Publica (Fraunhofer-Gesellschaft) (submittedVersion)
  • arXiv (Cornell University)
  • Universitätsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver
Funders
  • U.S. Department of Defense
  • Simons Institute for the Theory of Computing, University of California Berkeley
  • Deutsche Forschungsgemeinschaft (CRC 183, EI 519/21-1)
  • Bundesministerium für Bildung und Forschung
  • QuantERA
  • Einstein Stiftung Berlin
  • Horizon 2020 Framework Programme (817482)
  • German Federal Ministry of Economics and Climate Protection
  • Munich Quantum Valley
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
Keywords
quantum advantage, quantum measurement, probability distributions

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