Comparison of a quantum error-correction threshold for exact and approximate errors
Journal Article (Journal Article)
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.
Full Text
Duke Authors
Cited Authors
- Gutiérrez, M; Brown, KR
Published Date
- February 27, 2015
Published In
Volume / Issue
- 91 / 2
Electronic International Standard Serial Number (EISSN)
- 1094-1622
International Standard Serial Number (ISSN)
- 1050-2947
Digital Object Identifier (DOI)
- 10.1103/PhysRevA.91.022335
Citation Source
- Scopus