Fault-tolerant compass codes

TitleFault-tolerant compass codes
Publication TypeJournal Article
Year of Publication2020
AuthorsS Huang, and KR Brown
JournalPhysical Review A
Volume101
Issue4
Date Published04/2020
Abstract

© 2020 American Physical Society. 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.

DOI10.1103/PhysRevA.101.042312
Short TitlePhysical Review A