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Communications in Algebra Volume 39, 2010 - Issue 1
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Original Articles

Fully Ramified Characters and Clifford Codes

Alejandro P. Nicolás Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Santander, España, SpainCorrespondence[email protected]
,
Consuelo Martínez Departamento de Matemáticas, Universidad de Oviedo, Oviedo, España, Spain
&
Markus Grassl Centre for Quantum Technologies (CQT), National University of Singapore, Singapore, Singapore
Pages 100-115 | Received 22 Apr 2009, Published online: 20 Jan 2011
 
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Abstract

In this article we study relations between groups and quantum error correcting codes. Groups of central type are used to construct quantum error correcting codes. Both stabilizer and Clifford codes can be derived from a construction involving this kind of groups. A more general construction of Clifford codes will be given and their correcting properties will be examined using group theoretical techniques.

2000 Mathematics Subject Classification:

Notes

Communicated by A. Eldugue.

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