{
  "id": "0804.2093",
  "version": "v2",
  "published": "2008-04-14T01:34:58.000Z",
  "updated": "2008-10-06T02:06:13.000Z",
  "title": "Large deviations for quantum Markov semigroups on the 2 x 2 matrix algebra",
  "authors": [
    "Henri Comman"
  ],
  "comment": "We correct a mistake in the statement of Lemma 1 in the preliminaries section (this has no effect on the proofs and results of the paper); typos corrected",
  "journal": "Annales Henri Poincare 9 (2008), no. 5, 979-1003",
  "doi": "10.1007/s00023-008-0379-3",
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "Let $({\\mathcal{T}}_{*t})$ be a predual quantum Markov semigroup acting on the full 2 x 2 matrix algebra and having an absorbing pure state. We prove that for any initial state $\\omega$, the net of orthogonal measures representing the net of states $({\\mathcal{T}}_{*t}(\\omega))$ satisfies a large deviation principle in the pure state space, with a rate function given in terms of the generator, and which does not depend on $\\omega$. This implies that $({\\mathcal{T}}_{*t}(\\omega))$ is faithful for all $t$ large enough. Examples arising in weak coupling limit are studied.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-06T02:06:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L55",
      "82C10",
      "60F10"
    ],
    "keywords": [
      "matrix algebra",
      "pure state space",
      "large deviation principle",
      "predual quantum markov semigroup acting",
      "weak coupling limit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008AnHP....9..979C"
    }
  }
}