{
  "id": "1306.1934",
  "version": "v2",
  "published": "2013-06-08T15:42:16.000Z",
  "updated": "2014-12-28T10:40:17.000Z",
  "title": "Derivation of the Dirac Equation from Principles of Information Processing",
  "authors": [
    "G. M. D'Ariano",
    "P. Perinotti"
  ],
  "comment": "20 pages, 9 figures, revtex4, revised version",
  "journal": "Phys. Rev. A 90, 062106 (2014)",
  "doi": "10.1103/PhysRevA.90.062106",
  "categories": [
    "quant-ph",
    "hep-th"
  ],
  "abstract": "We show how the Dirac equation in three space-dimensions emerges from the large-scale dynamics of the minimal nontrivial quantum cellular automaton satisfying unitariety, locality, homogeneity, and discrete isotropy, without using the relativity principle. The Dirac equation is recovered for small wave-vector and inertial mass, whereas Lorentz covariance is distorted in the ultra-relativistic limit. The automaton can thus be regarded as a theory unifying scales from Planck to Fermi. A simple asymptotic approach leads to a dispersive Schroedinger equation describing the evolution of narrow-band states at all scales.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-08T15:42:16.000Z",
      "comment": "18 pages, 2 figures, revtex4",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-12-28T10:40:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.-a",
      "03.65.Pm",
      "03.70.+k",
      "11.10.-z"
    ],
    "keywords": [
      "dirac equation",
      "information processing",
      "minimal nontrivial quantum cellular automaton",
      "derivation",
      "quantum cellular automaton satisfying unitariety"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2014,
      "month": "Dec",
      "volume": 90,
      "number": 6,
      "pages": "062106"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1237954,
      "adsabs": "2014PhRvA..90f2106D"
    }
  }
}