CaltechAUTHORS
  A Caltech Library Service

Quantum Error Correction and Orthogonal Geometry

Calderbank, A. R. and Rains, E. M. and Shor, P. W. and Sloane, N. J. A. (1997) Quantum Error Correction and Orthogonal Geometry. Physical Review Letters, 78 (3). pp. 405-408. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20170926-101535529

[img] PDF - Published Version
See Usage Policy.

184Kb
[img] PDF - Submitted Version
See Usage Policy.

119Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20170926-101535529

Abstract

A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.78.405DOIArticle
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.78.405PublisherArticle
https://arxiv.org/abs/quant-ph/9605005arXivDiscussion Paper
Additional Information:© 1997 American Physical Society. Received 9 May 1996; revised manuscript received 3 July 1996. We would like to thank David DiVincenzo for discussions about the group L as presented in [7].
Issue or Number:3
Classification Code:PACS numbers: 03.65.Bz
Record Number:CaltechAUTHORS:20170926-101535529
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170926-101535529
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81831
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:26 Sep 2017 17:41
Last Modified:03 Oct 2019 18:47

Repository Staff Only: item control page