Enlargement of Calderbank-Shor-Steane quantum codes

  • Authors:
  • A. M. Steane

  • Affiliations:
  • Clarendon Lab., Oxford Univ.

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1999

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Abstract

It is shown that a classical error correcting code C=[n,k,d] which contains its dual, C⊥⊆C, and which can be enlarged to C'=[n,k'>k+1,d'], can be converted into a quantum code of parameters [[n,k+k'-n,min(d,[3d'/2])]]. This is a generalization of a previous construction, it enables many new codes of good efficiency to be discovered. Examples based on classical Bose-Chaudhuri-Hocquenghem (BCH) codes are discussed