{
  "annotation_id": "9b064306-806c-4511-a1ac-5cad9f9415c8",
  "date_created": "2026-03-02T18:02:06.146000Z",
  "date_modified": "2026-03-02T18:02:06.146000Z",
  "file_hash": "73245e841dbae04aec4b393ccc331b6d85bc282fd213d1cb1713a7f7f6fb840b",
  "private": false,
  "record": {
    "abstract": "We consider a bipartite mixed state of the form, $\\rho =\\sum_{\\alpha, \\beta\n=1}^{l}a_{\\alpha \\beta} | \\psi_{\\alpha}\u003e \u003c \\psi_ \\beta}| $, where $|\n\\psi_{\\alpha}\u003e$ are normalized bipartite state vectors, and matrix $(a_{\\alpha\n\\beta})$ is positive semidefinite. We provide a necessary and sufficient\ncondition for the state $\\rho $ taking the form of maximally correlated states\nby a local unitary transformation. More precisely, we give a criterion for\nsimultaneous Schmidt decomposability of $| \\psi_{\\alpha}\u003e$ for $\\alpha\n=1,2,..., l$. Using this criterion, we can judge completely whether or not the\nstate $\\rho $ is equivalent to the maximally correlated state, in which the\ndistillable entanglement is given by a simple formula. For generalized Bell\nstates, this criterion is written as a simple algebraic relation between\nindices of the states. We also discuss the local distinguishability of the\ngeneralized Bell states that are simultaneously Schmidt decomposable.",
    "arxiv_id": "quant-ph/0405107",
    "authors": [
      "Tohya Hiroshima",
      "Masahito Hayashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.030302",
    "journal_ref": "Phys. Rev. A 70, 030302(R) (2004)",
    "title": "Finding a maximally correlated state - Simultaneous Schmidt   decomposition of bipartite pure states",
    "url": "https://arxiv.org/abs/quant-ph/0405107"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2f894518-1221-4d30-8c27-828724ac5312",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}