2D Compass Codes

Published

Journal Article

© 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the »https://creativecommons.org/licenses/by/4.0/» Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. The compass model on a square lattice provides a natural template for building subsystem stabilizer codes. The surface code and the Bacon-Shor code represent two extremes of possible codes depending on how many gauge qubits are fixed. We explore threshold behavior in this broad class of local codes by trading locality for asymmetry and gauge degrees of freedom for stabilizer syndrome information. We analyze these codes with asymmetric and spatially inhomogeneous Pauli noise in the code capacity and phenomenological models. In these idealized settings, we observe considerably higher thresholds against asymmetric noise. At the circuit level, these codes inherit the bare-ancilla fault tolerance of the Bacon-Shor code.

Full Text

Duke Authors

Cited Authors

  • Li, M; Miller, D; Newman, M; Wu, Y; Brown, KR

Published Date

  • May 29, 2019

Published In

Volume / Issue

  • 9 / 2

Electronic International Standard Serial Number (EISSN)

  • 2160-3308

Digital Object Identifier (DOI)

  • 10.1103/PhysRevX.9.021041

Citation Source

  • Scopus