Published January 20, 1997
| Version Submitted + Published
Journal Article
Open
Quantum Error Correction and Orthogonal Geometry
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1.
Institute For Defense Analyses
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.
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].Attached Files
Published - PhysRevLett.78.405.pdf
Submitted - 9605005.pdf
Files
9605005.pdf
Additional details
Identifiers
- Eprint ID
- 81831
- Resolver ID
- CaltechAUTHORS:20170926-101535529
Related works
- Describes
- https://arxiv.org/abs/quant-ph/9605005 (URL)
Dates
- Created
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2017-09-26Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
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