{
  "id": "quant-ph/9706064",
  "version": "v1",
  "published": "1997-06-30T20:04:29.000Z",
  "updated": "1997-06-30T20:04:29.000Z",
  "title": "Information-theoretic approach to quantum error correction and reversible measurement",
  "authors": [
    "M. A. Nielsen",
    "Carlton M. Caves",
    "Benjamin Schumacher",
    "Howard Barnum"
  ],
  "comment": "31 pages, REVTEX, one figure in LaTeX, submitted to Proceedings of the ITP Conference on Quantum Coherence and Decoherence",
  "doi": "10.1098/rspa.1998.0160",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error-correcting codes, teleportation, and reversing quantum measurements. We derive information-theoretic conditions and equivalent algebraic conditions that are necessary and sufficient for a general quantum operation to be reversible. We analyze the thermodynamic cost of error correction and show that error correction can be regarded as a kind of ``Maxwell demon,'' for which there is an entropy cost associated with information obtained from measurements performed during error correction. A prescription for thermodynamically efficient error correction is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-06-30T20:04:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum error correction",
      "information-theoretic approach",
      "reversible measurement",
      "thermodynamically efficient error correction",
      "general quantum operation"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 429609
    }
  }
}