{
  "id": "1812.00018",
  "version": "v1",
  "published": "2018-11-30T19:00:21.000Z",
  "updated": "2018-11-30T19:00:21.000Z",
  "title": "Resource theory of coherence based on positive-operator-valued measures",
  "authors": [
    "Felix Bischof",
    "Hermann Kampermann",
    "Dagmar Bruß"
  ],
  "comment": "4+8 pages, 2 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Quantum coherence is a fundamental feature of quantum mechanics and an underlying requirement for most quantum information tasks. In the resource theory of coherence, incoherent states are diagonal with respect to a fixed orthonormal basis, i.e., they can be seen as arising from a von Neumann measurement. Here, we introduce and study a generalization to a resource theory of coherence defined with respect to the most general quantum measurement, i.e., to an arbitrary positive-operator-valued measure (POVM). We establish POVM-based coherence measures and POVM-incoherent operations which coincide for the case of von Neumann measurements with their counterparts in standard coherence theory. We provide a semidefinite program that allows to characterize interconversion properties of resource states, and exemplify our framework by means of the qubit trine POVM, for which we also show analytical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-30T19:00:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "resource theory",
      "positive-operator-valued measure",
      "von neumann measurement",
      "standard coherence theory",
      "quantum information tasks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}