{
  "id": "1704.03710",
  "version": "v1",
  "published": "2017-04-12T11:20:15.000Z",
  "updated": "2017-04-12T11:20:15.000Z",
  "title": "Resource Theory of Coherence - Beyond States",
  "authors": [
    "Khaled Ben Dana",
    "Mohamed Mejatty",
    "Andreas Winter"
  ],
  "comment": "6 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We generalize the recently proposed resource theory of coherence (or superposition) [Baumgratz, Cramer & Plenio, Phys. Rev. Lett. 113:140401; Winter & Yang, Phys. Rev. Lett. 116:120404] to the setting where not only the free (\"incoherent\") resources, but also the objects manipulated are quantum operations, rather than states. In particular, we discuss an information theoretic notion of coherence capacity of a quantum channel, and prove a single-letter formula for it in the case of unitaries. Then we move to the coherence cost of simulating a channel, and prove achievability results for unitaries and general channels acting on a $d$-dimensional system; we show that a maximally coherent state of rank $d$ is always sufficient as a resource if incoherent operations are allowed, and rank $d^2$ for \"strictly incoherent\" operations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-12T11:20:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "resource theory",
      "information theoretic notion",
      "incoherent",
      "quantum operations",
      "coherence capacity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}