Quantum error correction via codes over GF(4)
A.R. Calderbank(AT&T (United States)), Eric M. Rains(AT&T (United States)), Peter Shor(AT&T (United States)), N. J. A. Sloane(AT&T (United States))
Cited by 1,799
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.
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