{
  "annotation_id": "f6005dd9-1f1b-46ea-a8a2-8b2668445fc8",
  "date_created": "2026-03-02T18:02:19.687000Z",
  "date_modified": "2026-03-02T18:02:19.687000Z",
  "file_hash": "5323b5fae08abde3824670ee71dbc0df776f224ac160815f34f7600571a74b6d",
  "private": false,
  "record": {
    "abstract": "We analyze how entanglement between two components of a bipartite system\nbehaves under the action of local channels of the form $\\cE\\otimes\\cI$. We show\nthat a set of maximally entangled states is by the action of $\\cE\\otimes\\cI$\ntransformed into the set of states that exhibit the same degree of\nentanglement. Moreover, this degree represents an upper bound on entanglement\nthat is available at the output of the channel irrespective what is the input\nstate of the composite system. We show that within this bound the the\nentanglement-induced state ordering is ``relative\u0027\u0027 and can be changed by the\naction of local channels. That is, two states $\\varrho_1^{(in)}$ and\n$\\varrho_2^{(in)}$ such that the entanglement $E[\\varrho_1^{(in)}]$ of the\nfirst state is larger than the entanglement $E[\\varrho_2^{(in)}]$ of the second\nstate are transformed into states $\\varrho_1^{(out)}$ and $\\varrho_2^{(out)}$\nsuch that $E[\\varrho_2^{(out)}] \u003e E[\\varrho_1^{(out)}]$.",
    "arxiv_id": "quant-ph/0510017",
    "authors": [
      "Mario Ziman",
      "Vladimir Buzek"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.012312",
    "title": "Entanglement-induced state ordering under local operations",
    "url": "https://arxiv.org/abs/quant-ph/0510017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e3882305-6303-4ff2-acd7-f94d97cac932",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}