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arxiv: quant-ph/9703002 · v2 · submitted 1997-03-04 · 🪐 quant-ph

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A nonadditive quantum code

Eric M. Rains , R. H. Hardin , Peter W. Shor , N. J. A. Sloane (AT&T Research)
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Stabilizer Codes and Quantum Error Correction

    quant-ph 1997-05 accept novelty 9.0

    The stabilizer code formalism is presented as a powerful group-theoretic tool for quantum error correction, enabling code construction, analysis of quantum channel capacity, bounds on codes, and fault-tolerant computation.