Clifford Code Constructions of Operator Quantum Error-Correcting Codes

abstract

• Recently, operator quantum error-correcting codes have been proposed to unify and generalize decoherence free subspaces, noiseless subsystems, and quantum error-correcting codes. This correspondence introduces a natural construction of such codes in terms of Clifford codes, an elegant generalization of stabilizer codes due to Knill. Character-theoretic methods are used to derive a simple method to construct operator quantum error-correcting codes from any classical additive code over a finite field, which obviates the need for self-orthogonal codes. 2008 IEEE.

authors

• Klappenecker, Andreas

published proceedings

• IEEE Transactions on Information Theory

author list (cited authors)

• Klappenecker, A., & Sarvepalli, P. K.

citation count

• 14

complete list of authors

• Klappenecker, Andreas||Sarvepalli, Pradeep Kiran

publication date

• December 2008

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE TRANSACTIONS ON INFORMATION THEORY  Journal

keywords

• Cs.it
• Math.it
• Quant-ph

Digital Object Identifier (DOI)

• 10.1109/tit.2008.2006429

start page

• 5760

end page

• 5765

volume

• 54

issue

• 12

URL

• http://dx.doi.org/10.1109/tit.2008.2006429