Cited by 106Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum many-body systems

Quantum computational advantage via high-dimensional Gaussian boson sampling

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Deshpande, Abhinav, Mehta, Arthur, Vincent, Trevor, Quesada, Nicolás, Hinsche, Marcel, Ioannou, Marios, Madsen, Lars, Lavoie, Jonathan +5 more·2022·Science Advances

Abstract

A programmable quantum computer based on fiber optics outperforms classical computers with a high level of confidence.

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Crossref · 10.1126/sciadv.abi7894

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  • If one were to target a universal and programmable interferometer with depth equal to the number of modes that covers densely the set of unitary matrices, the exponential accumulation of loss would prohibit showing a quantum advantage.

    “if one were to target a universal and programmable interferometer, with depth equal to the number of modes, that covers densely the set of unitary matrices, the exponential accumulation of loss would prohibit showing a quantum advantage.”
  • Tensor network techniques are ruled out for speeding up simulation of the circuit considered; even with effectively infinite memory they require significantly more time than hafnian-based methods to calculate probability amplitudes.

    “this possibility is ruled out in ref. 5 where it is shown that, even when giving tensor network algorithms effectively infinite memory, they require significantly more time than hafnian based methods to calculate probability amplitudes.”

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Authors
Deshpande, A., Mehta, A., Vincent, T., Quesada, N., Hinsche, M., Ioannou, M., Madsen, L., Lavoie, J., Qi, H., Eisert, J., Hangleiter, D., Fefferman, B., & Dhand, I.
Affiliations
  • California Institute of Technology (US)
  • University of Toronto (CA)
  • Xanadu Quantum Technologies (Canada) (CA)
  • Freie Universität Berlin (DE)
  • Helmholtz-Zentrum Berlin für Materialien und Energie (DE)
  • Joint Center for Quantum Information and Computer Science (US)
  • University of Chicago (US)
  • Universität Ulm (DE)
Corresponding author
  • Deshpande, Abhinav
  • Mehta, Arthur
  • Dhand, Ish
Venue
Science Advances
Published
2022-01-07
Volume
8
Issue
1
Pages
eabi7894-eabi7894
ISSN
2375-2548 (ISSN-L)
OpenAlex
W4205363984
Cited by
106
References
7
Citations by year
2026: 8 · 2025: 26 · 2024: 22 · 2023: 30 · 2022: 20
FWCI
8.06
Type
journal article
Language
en
Open access
Licence
cc-by-nc
Locations
  • Science Advances (publishedVersion, cc-by-nc)
  • PubMed Central (publishedVersion, cc-by-nc)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (acceptedVersion)
  • CaltechAUTHORS (California Institute of Technology) (submittedVersion, cc-by-nc)
  • Knowledge@UChicago (University of Chicago) (submittedVersion, cc-by-nc-nd)
  • HZB Repository (Helmholtz-Zentrum Berlin für Materialien und Energie GmbH (HZB)) (submittedVersion, other-oa)
  • PolyPublie (École Polytechnique de Montréal) (submittedVersion)
  • Refubium (Universitätsbibliothek der Freien Universität Berlin) (submittedVersion, cc-by-nc)
  • arXiv (Cornell University)
  • Universitätsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver
  • University of Chicago
Funders
  • European Commission
  • Deutsche Forschungsgemeinschaft
  • Bundesministerium für Bildung und Forschung
  • Mitacs
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 many-body systems
Keywords
quantum advantage, Gaussian boson sampling, photonics, quantum simulation algorithms

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