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Comparison of a quantum error-correction threshold for exact and approximate errors

Publication ,  Journal Article
Gutiérrez, M; Brown, KR
Published in: Physical Review A - Atomic, Molecular, and Optical Physics
February 27, 2015

Classical simulations of noisy stabilizer circuits are often used to estimate the threshold of a quantum error-correcting code. Physical noise sources are efficiently approximated by random insertions of Pauli operators. For a single qubit, more accurate approximations that still allow for efficient simulation can be obtained by including Clifford operators and Pauli operators conditional on measurement. We examine the feasibility of employing these expanded error approximations to obtain better threshold estimates. We calculate the level-1 pseudothreshold for the Steane [[7,1,3]] code for amplitude damping and dephasing along a non-Clifford axis. The expanded channels estimate the actual channel action more accurately than the Pauli channels before error correction. However, after error correction, the Pauli twirling approximation yields very accurate estimates of the performance of quantum error-correcting protocols in the presence of the actual noise channel.

Duke Scholars

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

February 27, 2015

Volume

91

Issue

2

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Gutiérrez, M., & Brown, K. R. (2015). Comparison of a quantum error-correction threshold for exact and approximate errors. Physical Review A - Atomic, Molecular, and Optical Physics, 91(2). https://doi.org/10.1103/PhysRevA.91.022335
Gutiérrez, M., and K. R. Brown. “Comparison of a quantum error-correction threshold for exact and approximate errors.” Physical Review A - Atomic, Molecular, and Optical Physics 91, no. 2 (February 27, 2015). https://doi.org/10.1103/PhysRevA.91.022335.
Gutiérrez M, Brown KR. Comparison of a quantum error-correction threshold for exact and approximate errors. Physical Review A - Atomic, Molecular, and Optical Physics. 2015 Feb 27;91(2).
Gutiérrez, M., and K. R. Brown. “Comparison of a quantum error-correction threshold for exact and approximate errors.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 91, no. 2, Feb. 2015. Scopus, doi:10.1103/PhysRevA.91.022335.
Gutiérrez M, Brown KR. Comparison of a quantum error-correction threshold for exact and approximate errors. Physical Review A - Atomic, Molecular, and Optical Physics. 2015 Feb 27;91(2).

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

February 27, 2015

Volume

91

Issue

2

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences