{
  "id": "1308.6783",
  "version": "v2",
  "published": "2013-08-30T16:06:04.000Z",
  "updated": "2014-12-02T09:38:09.000Z",
  "title": "Bipartite entanglement of quantum states in a pair basis",
  "authors": [
    "Marco Roncaglia",
    "Arianna Montorsi",
    "Marco Genovese"
  ],
  "comment": "8 pages, 10 figures",
  "journal": "Phys. Rev. A 90, 062303 (2014)",
  "doi": "10.1103/PhysRevA.90.062303",
  "categories": [
    "quant-ph",
    "cond-mat.quant-gas",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "The unambiguous detection and quantification of entanglement is a hot topic of scientific research, though it is limited to low dimensions or specific classes of states. Here we identify an additional class of quantum states, for which bipartite entanglement measures can be efficiently computed, providing new rigorous results. Such states are written in arbitrary $d\\times d$ dimensions, where each basis state in the subsystem A is paired with only one state in B. This new class, that we refer to as pair basis states, is remarkably relevant in many physical situations, including quantum optics. We find that negativity is a necessary and sufficient measure of entanglement for mixtures of states written in the same pair basis. We also provide analytical expressions for a tight lower-bound estimation of the entanglement of formation, a central quantity in quantum information.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-30T16:06:04.000Z",
      "abstract": "Even if entanglement is a fundamental tool for quantum technologies, its non ambiguous detection and quantification is still limited to low dimensions or specific classes of states. In this sense every extension beyond such special cases is of the utmost importance. Here, we consider quantum states in arbitrary $d\\times d$ dimensions, particularly relevant to quantum optics, written in terms of a pair basis where each state in the subsystem A is paired with only one state in B. We extend the class of states for which negativity is a necessary and sufficient measure of entanglement to mixtures of states in a pair basis. In addition, we provide analytical expressions for a tight lower-bound estimation of the entanglement of formation, a central quantity for quantum information applications.",
      "comment": "5 pages, 10 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-12-02T09:38:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "03.65.Ud",
      "42.65.Lm"
    ],
    "keywords": [
      "pair basis",
      "quantum states",
      "bipartite entanglement",
      "tight lower-bound estimation",
      "quantum information applications"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2014,
      "month": "Dec",
      "volume": 90,
      "number": 6,
      "pages": "062303"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvA..90f2303R"
    }
  }
}