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An inducing construction of quantum codes from classical error correcting codes
Published online by Cambridge University Press: 14 July 2016
Abstract
The aim of the present paper is to construct error correcting quantum codes from classical error correcting group codes by using the Schur orthogonality relations for characters of a finite abelian group and the Knill–Laflamme criterion for a quantum code to correct a pre-assigned family of errors. This is an abstraction and generalization of Shor's example of a nine qubit single error correcting quantum code.
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MSC classification
- Type
- Probability theory
- Information
- Journal of Applied Probability , Volume 38 , Issue A: Probability, Statistics and Seismology , 2001 , pp. 27 - 32
- Copyright
- Copyright © Applied Probability Trust 2001
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