Convolutional and Tail-Biting Quantum Error-Correcting Codes
G. David Forney; Markus Grassl; Saikat Guha
Information Theory, IEEE Transactions on
Volume 53, Issue 3, March 2007 Page(s):865 - 880
Digital Object Identifier   10.1109/TIT.2006.890698
Summary:Rate-(n-2)/n unrestricted and CSS-type quantum convolutional codes with up to 4096 states and minimum distances up to 10 are constructed as stabilizer codes from classical self-orthogonal rate-1/n F₄-linear and binary linear convolutional codes, respectively. These codes generally have higher rate and less decoding complexity than comparable quantum block codes or previous quantum convolutional codes. Rate-(n-2)/n block stabilizer codes with the same rate and error-correction capability and essentially the same decoding complexity are derived from these convolutional codes via tail-biting

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