Quantum Error Correction via Codes over GF(4)
A. R. Calderbank, E. M Rains, P. W. Shor, N. J. A. Sloane
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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