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Quantum Error Correction via Codes over GF(4)

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arxiv quant-ph/9608006 v5 pith:CLIAJ567 submitted 1996-08-06 quant-ph

A. R. Calderbank (1) , E. M Rains (2) , P. W. Shor (1) , N. J. A. Sloane (1) , ((1) AT&T Research , (2) Institute for Defense Analyses) This is my paper · ORCID
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keywords codesboundsfindingproblemquantumadditivecertaincorrection
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The problem of finding quantum error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits.

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Cited by 5 Pith papers

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