{
  "annotation_id": "c270fcba-438c-4ad0-b85a-a649a6891667",
  "date_created": "2026-03-02T18:02:00.111000Z",
  "date_modified": "2026-03-02T18:02:00.111000Z",
  "file_hash": "20541be9f44df7f658b39b98d79df0e78070137448cac95db836d2066176c644",
  "private": false,
  "record": {
    "abstract": "It is shown that for a given bipartite density matrix and by choosing a\nsuitable separable set (instead of product set) on the separable-entangled\nboundary, optimal Lewenstein-Sanpera (L-S) decomposition can be obtained via\noptimization for a generic entangled density matrix. Based on this, We obtain\noptimal L-S decomposition for some bipartite systems such as $2\\otimes 2$ and\n$2\\otimes 3$ Bell decomposable states, generic two qubit state in Wootters\nbasis, iso-concurrence decomposable states, states obtained from BD states via\none parameter and three parameters local operations and classical\ncommunications (LOCC), $d\\otimes d$ Werner and isotropic states, and a one\nparameter $3\\otimes 3$ state. We also obtain the optimal decomposition for\nmulti partite isotropic state. It is shown that in all $2\\otimes 2$ systems\nconsidered here the average concurrence of the decomposition is equal to the\nconcurrence. We also show that for some $2\\otimes 3$ Bell decomposable states\nthe average concurrence of the decomposition is equal to the lower bound of the\nconcurrence of state presented recently in [Buchleitner et al,\nquant-ph/0302144], so an exact expression for concurrence of these states is\nobtained. It is also shown that for $d\\otimes d$ isotropic state where\ndecomposition leads to a separable and an entangled pure state, the average\nI-concurrence of the decomposition is equal to the I-concurrence of the state.\n  Keywords: Quantum entanglement, Optimal Lewenstein-Sanpera decomposition,\nConcurrence, Bell decomposable states, LOCC}\n  PACS Index: 03.65.Ud",
    "arxiv_id": "quant-ph/0304019",
    "authors": [
      "S. J. Akhtarshenas",
      "M. A. Jafarizadeh"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/8/008",
    "title": "Optimal Lewenstein-Sanpera Decomposition for some Biparatite Systems",
    "url": "https://arxiv.org/abs/quant-ph/0304019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e81221d6-e326-4173-80a5-f40632f5ecef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}