Fault-tolerant compass codes

Journal Article (Journal Article)

We study a class of gauge fixings of the Bacon-Shor code at the circuit level, which includes a subfamily of generalized surface codes. We show that for these codes, fault tolerance can be achieved by direct measurements of the stabilizers. By simulating our fault-tolerant scheme under biased noise, we show the possibility of optimizing the performance of the surface code by stretching the bulk stabilizer geometry. To decode the syndrome efficiently and accurately, we generalize the union-find decoder to biased noise models. Our decoder obtains a 0.83% threshold value for the surface code in quadratic time complexity.

Full Text

Duke Authors

Cited Authors

  • Huang, S; Brown, KR

Published Date

  • April 1, 2020

Published In

Volume / Issue

  • 101 / 4

Electronic International Standard Serial Number (EISSN)

  • 2469-9934

International Standard Serial Number (ISSN)

  • 2469-9926

Digital Object Identifier (DOI)

  • 10.1103/PhysRevA.101.042312

Citation Source

  • Scopus