{
  "id": "0707.4401",
  "version": "v1",
  "published": "2007-07-30T12:55:25.000Z",
  "updated": "2007-07-30T12:55:25.000Z",
  "title": "Entanglement measures: state ordering vs local operations",
  "authors": [
    "Mario Ziman",
    "Vladimir Buzek"
  ],
  "comment": "9 pages, 1 figure, presented at NATO Advanced Research Workshop on Quantum Communication and Security (September 2006, Gdansk, Poland)",
  "journal": "Quantum Communication and Security (edited by M.Zukowski et al.), pp. 196-204 (IOS Press, 2007)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A set of all states of a bi-partite quantum system can be divided into subsets each of which contains states with the same degree of entanglement. In this paper we address a question whether local operations (without classical communication) affect the entanglement-induced state ordering. We show that arbitrary unilocal channel (i.e., a channel that acts on one sub-system of a bi-partite system only) might change the ordering for an arbitrary nontrivial measure of entanglement. A slightly weaker result holds for the maximally entangled states. In particular, the maximally entangled states might not remain the most entangled ones at the output of a unilocal noise channel.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-30T12:55:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local operations",
      "state ordering",
      "entanglement measures",
      "maximally entangled states",
      "unilocal noise channel"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.4401Z"
    }
  }
}