Published July 16, 2013
| Submitted + Published
Journal Article
Open
Algebraic techniques in designing quantum synchronizable codes
Abstract
Quantum synchronizable codes are quantum error-correcting codes that can correct the effects of quantum noise as well as block synchronization errors. We improve the known general framework for designing quantum synchronizable codes through more extensive use of the theory of finite fields. This makes it possible to widen the range of tolerable magnitude of block synchronization errors while giving mathematical insight into the algebraic mechanism of synchronization recovery. Also given are families of quantum synchronizable codes based on punctured Reed-Muller codes and their ambient spaces.
Additional Information
© 2013 American Physical Society. Received 31 March 2013; published 16 July 2013. Y.F. acknowledges support from JSPS. Vladimir Tonchev is supported by an NSA grant.Attached Files
Published - PhysRevA.88.012318.pdf
Submitted - 1304.0502v3.pdf
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PhysRevA.88.012318.pdf
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Additional details
- Eprint ID
- 39847
- Resolver ID
- CaltechAUTHORS:20130809-135140181
- Japan Society for the Promotion of Science (JSPS)
- National Security Agency (NSA)
- Created
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2013-08-09Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field