Decoding schemes for foliated sparse quantum error-correcting codes

A. Bolt, D. Poulin, and T. M. Stace
Phys. Rev. A 98, 062302 – Published 3 December 2018

Abstract

Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation. They represent a general approach to integrating a range of possible quantum error correcting codes into larger fault-tolerant networks. Here, we present an efficient heuristic decoding scheme for foliated quantum codes, based on message passing between primal and dual code “sheets.” We test this decoder on two different families of sparse quantum error correcting code: turbo codes and bicycle codes, and show reasonably high numerical performance thresholds. We also present a construction schedule for building such code states.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
8 More
  • Received 5 March 2018

DOI:https://doi.org/10.1103/PhysRevA.98.062302

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

A. Bolt1, D. Poulin2, and T. M. Stace1,*

  • 1ARC Centre for Engineered Quantum System, Department of Physics, University of Queensland, Brisbane, QLD 4072, Australia
  • 2Département de Physique, Université de Sherbrooke, Québec, J1K 2R1, Canada

  • *stace@physics.uq.edu.au

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 98, Iss. 6 — December 2018

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×