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Approximation of realistic errors by Clifford channels and Pauli measurements

Publication ,  Journal Article
Gutiérrez, M; Svec, L; Vargo, A; Brown, KR
Published in: Physical Review A - Atomic, Molecular, and Optical Physics
March 22, 2013

The Gottesman-Knill theorem allows for the efficient simulation of stabilizer-based quantum error-correction circuits. Errors in these circuits are commonly modeled as depolarizing channels by using Monte Carlo methods to insert Pauli gates randomly throughout the circuit. Although convenient, these channels are poor approximations of common, realistic channels such as amplitude damping. Here we analyze a larger set of efficiently simulable error channels by allowing the random insertion of any one-qubit gate or measurement that can be efficiently simulated within the stabilizer formalism. Our error channels are shown to be a viable method for accurately approximating realistic error channels. © 2013 American Physical Society.

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Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

March 22, 2013

Volume

87

Issue

3

Related Subject Headings

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

Citation

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Gutiérrez, M., Svec, L., Vargo, A., & Brown, K. R. (2013). Approximation of realistic errors by Clifford channels and Pauli measurements. Physical Review A - Atomic, Molecular, and Optical Physics, 87(3). https://doi.org/10.1103/PhysRevA.87.030302
Gutiérrez, M., L. Svec, A. Vargo, and K. R. Brown. “Approximation of realistic errors by Clifford channels and Pauli measurements.” Physical Review A - Atomic, Molecular, and Optical Physics 87, no. 3 (March 22, 2013). https://doi.org/10.1103/PhysRevA.87.030302.
Gutiérrez M, Svec L, Vargo A, Brown KR. Approximation of realistic errors by Clifford channels and Pauli measurements. Physical Review A - Atomic, Molecular, and Optical Physics. 2013 Mar 22;87(3).
Gutiérrez, M., et al. “Approximation of realistic errors by Clifford channels and Pauli measurements.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 87, no. 3, Mar. 2013. Scopus, doi:10.1103/PhysRevA.87.030302.
Gutiérrez M, Svec L, Vargo A, Brown KR. Approximation of realistic errors by Clifford channels and Pauli measurements. Physical Review A - Atomic, Molecular, and Optical Physics. 2013 Mar 22;87(3).

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

March 22, 2013

Volume

87

Issue

3

Related Subject Headings

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