Foliated quantum error-correcting codes

Bolt, A., Duclos-Cianci, G., Poulin, D. and Stace, T. M. (2016) Foliated quantum error-correcting codes. Physical Review Letters, 117 7: 070501. doi:10.1103/PhysRevLett.117.070501

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
UQ405926_OA.pdf Full text (open access) application/pdf 689.36KB 0

Author Bolt, A.
Duclos-Cianci, G.
Poulin, D.
Stace, T. M.
Title Foliated quantum error-correcting codes
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 1079-7114
0031-9007
Publication date 2016-08-10
Year available 2016
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.117.070501
Open Access Status File (Publisher version)
Volume 117
Issue 7
Start page 070501
Total pages 6
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract We show how to construct a large class of quantum error-correcting codes, known as Calderbank-Steane-Shor codes, from highly entangled cluster states. This becomes a primitive in a protocol that foliates a series of such cluster states into a much larger cluster state, implementing foliated quantum error correction. We exemplify this construction with several familiar quantum error-correction codes and propose a generic method for decoding foliated codes. We numerically evaluate the error-correction performance of a family of finite-rate Calderbank-Steane-Shor codes known as turbo codes, finding that they perform well over moderate depth foliations. Foliated codes have applications for quantum repeaters and fault-tolerant measurement-based quantum computation.
Formatted abstract
We show how to construct a large class of quantum error-correcting codes, known as Calderbank-Steane-Shor codes, from highly entangled cluster states. This becomes a primitive in a protocol that foliates a series of such cluster states into a much larger cluster state, implementing foliated quantum error correction. We exemplify this construction with several familiar quantum error-correction codes and propose a generic method for decoding foliated codes. We numerically evaluate the error-correction performance of a family of finite-rate Calderbank-Steane-Shor codes known as turbo codes, finding that they perform well over moderate depth foliations. Foliated codes have applications for quantum repeaters and fault-tolerant measurement-based quantum computation.
Keyword Physics, Multidisciplinary
Physics
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
HERDC Pre-Audit
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 2 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Sun, 18 Sep 2016, 10:29:14 EST by System User on behalf of Learning and Research Services (UQ Library)