Errors and pseudothresholds for incoherent and coherent noise
Published
Journal Article
© 2016 American Physical Society. 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