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Convolutional and Tail-Biting Quantum Error-Correcting Codes
Forney, G.D.; Grassl, M.; Guha, S.;
Information Theory, IEEE Transactions on
Volume 53,
Issue 3,
March 2007
Page(s):865
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880
Abstract:
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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