Errors and pseudothresholds for incoherent and coherent noise

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Gutiérrez, M; Smith, C; Lulushi, L; Janardan, S; Brown, KR

Published Date

  • October 24, 2016

Published In

Volume / Issue

  • 94 / 4

Electronic International Standard Serial Number (EISSN)

  • 2469-9934

International Standard Serial Number (ISSN)

  • 2469-9926

Digital Object Identifier (DOI)

  • 10.1103/PhysRevA.94.042338

Citation Source

  • Scopus