A nonadditive quantum code
Eric M. Rains, R. H. Hardin, Peter W. Shor, N. J. A. Sloane
Abstract
Up to now every good quantum error-correcting code discovered has had the structure of an eigenspace of an Abelian group generated by tensor products of Pauli matrices; such codes are known as stabilizer or additive codes. In this letter we present the first example of a code that is better than any code of this type. It encodes six states in five qubits and can correct the erasure of any single qubit.
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