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A nonadditive quantum code

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arxiv quant-ph/9703002 v2 pith:7PNBOBVG submitted 1997-03-04 quant-ph

classification quant-ph
keywords codecodesquantumabelianadditivebettercorrectdiscovered
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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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