The multiplicative domain in quantum error correction

@article{Choi2009TheMD,
  title={The multiplicative domain in quantum error correction},
  author={Man-Duen Choi and N. Johnston and D. Kribs},
  journal={Journal of Physics A},
  year={2009},
  volume={42},
  pages={245303}
}
We show that the multiplicative domain of a completely positive map yields a new class of quantum error correcting codes. In the case of a unital quantum channel, these are precisely the codes that do not require a measurement as part of the recovery process, the so-called unitarily correctable codes. In the arbitrary, not necessarily unital case, they form a proper subset of unitarily correctable codes that can be computed from the properties of the channel. As part of the analysis, we derive… Expand

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