Cited by 581Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum Mechanics and Applications

Experimental Quantum Error Correction

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Cory, D. G., Price, M. D., Maas, W., Knill, E., Laflamme, R., Zurek, W. H., Havel, T. F., Somaroo, S. S.·1998·Physical Review Letters

Abstract

Quantum error correction is required to compensate for the fragility of the state of a quantum computer. We report the first experimental implementations of quantum error correction and confirm the expected state stabilization. A precise analysis of the decay behavior is performed in alanine and a full implementation of the error correction procedure is realized in trichloroethylene. In NMR computing, however, a net improvement in the signal to noise would require very high polarization. The experiment implemented the three-bit code for phase errors using liquid state NMR.

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  • Preskill's group proved that scattering amplitudes in simple relativistic quantum field theories can be efficiently simulated by universal digital quantum simulators.

    “Further, Preskill's group has proven recently that the scattering amplitudes in the simple relativistic quantum field theories can be efficiently (in polynomial time) simulated by UDQSs [105, 106].”

    From Can one trust quantum simulators? (2012) · cites this paper as [106]

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Research works printed but not linked: 12

  1. [5]C. Zalka. Proc. Roy. Soc. of London A , in press.
  2. [6]R. Landauer. Phil. Trans. Roy. Soc. of London , 353:367376, 1995.
  3. [9]A. Steane. Proc. Roy. Soc. of London A , 452:2551-, 1996.
  4. [10]P. W. Shor. In Proceedings of the Symposium on the Foundations of Computer Science , pages 56-65, Los Alamitos, California, 1996. IEEE press. quantph/9605011.
  5. [11]E. Knill, R. Laflamme, and W. Zurek. Science , vol 279, p.342, 1998.
  6. [12]D. Aharonov and M. Ben-Or. quant-ph/9611025, to appear in STOC'97, 1996. · arXiv
  7. [13]J. Preskill. Proc. Roy. Soc. of London A , in press.
  8. [14]A. Yu. Kitaev. preprint, 1996.
  9. [17]D. G. Cory, M. P. Price, and T. F. Havel. Physica D , 1998. In press (quant-ph/9709001). · arXiv
  10. [18]R. Laflamme, E. Knill, W.H. Zurek, P. Catasti and S. Marathan. quant-ph/9709025, 1997. · arXiv
  11. [19]D. G. Cory, A. F. Fahmy, and T. F. Havel. Proc. Nat. Acad. of Sciences of the U. S. , 94:1634-1639, 1997.
  12. [29]D. Aharonov and M. Ben-Or. quant-ph/9611028, 1996. · arXiv

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Authors
Cory, D. G., Price, M. D., Maas, W., Knill, E., Laflamme, R., Zurek, W. H., Havel, T. F., & Somaroo, S. S.
Affiliations
  • Massachusetts Institute of Technology (US)
  • Harvard University (US)
  • Bruker (United States) (US)
  • Los Alamos National Laboratory (US)
Venue
Physical Review Letters
Published
1998-09-07
Volume
81
Issue
10
Pages
2152-2155
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W1980856895
Cited by
581
References
28
Citations by year
2026: 5 · 2025: 28 · 2024: 34 · 2023: 32 · 2022: 29 · 2021: 28 · 2020: 30 · 2019: 19 · 2018: 21 · 2017: 18 · 2016: 23 · 2015: 28 · 2014: 14 · 2013: 19 · 2012: 21
FWCI
43.15
Type
journal article
Language
en
Open access
Locations
  • Physical Review Letters (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
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 error correction, state stabilization, alanine, trichloroethylene, liquid-state NMR, signal-to-noise ratio, polarization, spin decoherence

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