Fujiwara, Yuichiro and Tonchev, Vladimir D. and Wong, W. H. (2013) Algebraic techniques in designing quantum synchronizable codes. Physical Review A, 88 (1). Art. No. 012318. ISSN 1050-2947. doi:10.1103/PhysRevA.88.012318. https://resolver.caltech.edu/CaltechAUTHORS:20130809-135140181
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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.
Item Type: | Article | ||||||||||||
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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. | ||||||||||||
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Issue or Number: | 1 | ||||||||||||
Classification Code: | PACS: 03.67.Pp, 03.67.Hk | ||||||||||||
DOI: | 10.1103/PhysRevA.88.012318 | ||||||||||||
Record Number: | CaltechAUTHORS:20130809-135140181 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130809-135140181 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 39847 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Tony Diaz | ||||||||||||
Deposited On: | 09 Aug 2013 20:59 | ||||||||||||
Last Modified: | 09 Nov 2021 23:47 |
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