Theory of quantum error correction for general noise

  title={Theory of quantum error correction for general noise},
  author={E Knill and Laflamme and Viola},
  journal={Physical review letters},
  volume={84 11},
A measure of quality of an error-correcting code is the maximum number of errors that it is able to correct. We show that a suitable notion of "number of errors" e makes sense for any quantum or classical system in the presence of arbitrary interactions. Thus, e-error-correcting codes protect information without requiring the usual assumptions of independence. We prove the existence of large codes for both quantum and classical information. By viewing error-correcting codes as subsystems, we… CONTINUE READING

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