Quantum Error Correction Via Codes Over GF(4) (1997)
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by
A. R. Calderbank
,
E. M. Rains
,
P. W. Shor
,
N. J. A. Sloane
| Citations: | 204 - 16 self |
BibTeX
@MISC{Calderbank97quantumerror,
author = {A. R. Calderbank and E. M. Rains and P. W. Shor and N. J. A. Sloane},
title = {Quantum Error Correction Via Codes Over GF(4) },
year = {1997}
}
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Abstract
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.
