Cited by 127Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum many-body systems

Stringent and Efficient Assessment of Boson-Sampling Devices

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Tichy, Malte C., Mayer, Klaus, Buchleitner, Andreas, Mølmer, Klaus·2014·Physical Review Letters

Abstract

Boson sampling holds the potential to experimentally falsify the extended Church-Turing thesis. The computational hardness of boson sampling, however, complicates the certification that an experimental device yields correct results in the regime in which it outmatches classical computers. To certify a boson sampler, one needs to verify quantum predictions and rule out models that yield these predictions without true many-boson interference. We show that a semiclassical model for many-boson propagation reproduces coarse-grained observables that are proposed as witnesses of boson sampling. A test based on Fourier matrices is demonstrated to falsify physically plausible alternatives to coherent many-boson propagation.

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  • The FT and F6^(2) are examples in the more general class of complex Hadamard matrices, which are related to mutually unbiased bases and are of fundamental interest in quantum information theory.

    “The FT and F (2) 6 are examples in the more general class of complex Hadamard matrices (CHMs), which are related to mutually unbiased bases [54] and are of fundamental interest in quantum information theory [55].”

    From Universal linear optics (2015) · cites this paper as [54]

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  1. [4]S. Aaronson and A. Arkhipov, STOC '11 43rd ann. ACM symp. Theo. Comp. , 333 (2011).
  2. [11]A. Leverrier, R. Garc´ ıa-Patr´ on Does Boson Sampling need Fault-Tolerance? arXiv:1309.4687, 2013. · arXiv
  3. [12]P. P. Rhode, K. R. Motes, and J. P. Dowling, Sampling generalized cat states with linear optics is probably hard, arXiv:1310.0297, 2013. · arXiv
  4. [13]A. P. Lund, A. Laing, S. Rahimi-Keshari, T. Rudolph, J. L. O'Brien, and T. C. Ralph, Boson sampling from gaussian states, arXiv:1305.4346v3, 2013. · arXiv
  5. [14]N. Spagnolo et al. , Efficient experimental validation of photonic boson sampling against the uniform distribution, arXiv:1311.1622, 2013. · arXiv
  6. [24]M. C. Tichy, Entanglement and Interference of Identical Particles , PhD thesis, Universit¨ at Freiburg, www.freidok.uni-freiburg.de/volltexte/8233/, 2011.
  7. [28]K. Mayer, Many-particle quantum walks, Master's thesis, Universit¨ at Freiburg, www.freidok.unifreiburg.de/volltexte/8496/, 2011.
  8. [32]Y.-S. Ra, M. C. Tichy, H.-T. Lim, O. Kwon, F. Mintert, and A. Buchleitner, Proc. Natl. Acad. Sci. USA 110 , 1227 (2013).

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Authors
Tichy, M. C., Mayer, K., Buchleitner, A., & Mølmer, K.
Affiliations
  • Aarhus University (DK)
  • University of Freiburg (DE)
Venue
Physical Review Letters
Published
2014-07-09
Volume
113
Issue
2
Pages
020502-020502
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2080482592
Cited by
127
References
34
Citations by year
2026: 3 · 2025: 8 · 2024: 6 · 2023: 7 · 2022: 5 · 2021: 7 · 2020: 8 · 2019: 16 · 2018: 16 · 2017: 11 · 2016: 20 · 2015: 16 · 2014: 4
FWCI
16.95
Type
journal article
Language
en
Open access
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (acceptedVersion)
  • arXiv (Cornell University)
Funders
Villum Fonden (00007335)
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
boson sampling, device certification, semiclassical model, Fourier matrix, quantum advantage

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