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Approximate Quantum Error Correction

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Abstract

The errors that arise in a quantum channel can be corrected perfectly if and only if the channel does not decrease the coherent information of the input state. We show that, if the loss of coherent information is small, then approximate quantum error correction is possible.

PACS: 03.67.H, 03.65.U

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Authors and Affiliations

  1. Department of Physics, Kenyon College, Gambier, Ohio, 43022

    Benjamin Schumacher

  2. Department of Mathematical Sciences, Denison University, Granville, Ohio, 43023

    Michael D. Westmoreland

Authors
  1. Benjamin Schumacher
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  2. Michael D. Westmoreland
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Schumacher, B., Westmoreland, M.D. Approximate Quantum Error Correction. Quantum Information Processing 1, 5–12 (2002). https://doi.org/10.1023/A:1019653202562

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  • DOI: https://doi.org/10.1023/A:1019653202562

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