Skip to main content
construction release_alert
Scholars@Duke will be undergoing maintenance April 11-15. Some features may be unavailable during this time.
cancel

Errors and pseudothresholds for incoherent and coherent noise

Publication ,  Journal Article
Gutiérrez, M; Smith, C; Lulushi, L; Janardan, S; Brown, KR
Published in: Physical Review A
October 24, 2016

We compare the effect of single qubit incoherent and coherent errors on the logical error rate of the Steane [[7,1,3]] quantum error correction code by performing an exact full-density-matrix simulation of an error correction step. We find that the effective 1-qubit process matrix at the logical level reveals the key differences between the error models and provides insight into why the Pauli twirling approximation is a good approximation for incoherent errors and a poor approximation for coherent ones. Approximate channels composed of Clifford operations and Pauli measurement operators that are pessimistic at the physical level result in pessimistic error rates at the logical level. In addition, we observe that the pseudothreshold can differ by a factor of 5 depending on whether the error is calculated using the fidelity or the distance.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Physical Review A

DOI

EISSN

2469-9934

ISSN

2469-9926

Publication Date

October 24, 2016

Volume

94

Issue

4

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 34 Chemical sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Gutiérrez, M., Smith, C., Lulushi, L., Janardan, S., & Brown, K. R. (2016). Errors and pseudothresholds for incoherent and coherent noise. Physical Review A, 94(4). https://doi.org/10.1103/PhysRevA.94.042338
Gutiérrez, M., C. Smith, L. Lulushi, S. Janardan, and K. R. Brown. “Errors and pseudothresholds for incoherent and coherent noise.” Physical Review A 94, no. 4 (October 24, 2016). https://doi.org/10.1103/PhysRevA.94.042338.
Gutiérrez M, Smith C, Lulushi L, Janardan S, Brown KR. Errors and pseudothresholds for incoherent and coherent noise. Physical Review A. 2016 Oct 24;94(4).
Gutiérrez, M., et al. “Errors and pseudothresholds for incoherent and coherent noise.” Physical Review A, vol. 94, no. 4, Oct. 2016. Scopus, doi:10.1103/PhysRevA.94.042338.
Gutiérrez M, Smith C, Lulushi L, Janardan S, Brown KR. Errors and pseudothresholds for incoherent and coherent noise. Physical Review A. 2016 Oct 24;94(4).

Published In

Physical Review A

DOI

EISSN

2469-9934

ISSN

2469-9926

Publication Date

October 24, 2016

Volume

94

Issue

4

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 34 Chemical sciences