{
  "id": "1506.03323",
  "version": "v1",
  "published": "2015-06-10T14:26:57.000Z",
  "updated": "2015-06-10T14:26:57.000Z",
  "title": "Propagation of correlations in Local Random Quantum Circuits",
  "authors": [
    "Siddhartha Santra",
    "Radhakrishnan Balu"
  ],
  "comment": "7 pages, 5 figures. Comments Welcome",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech"
  ],
  "abstract": "We derive a dynamical bound on the propagation of correlations in local random quantum circuits - lattice spin systems where piecewise quantum operations - in space and time - occur with classical probabilities. Correlations are quantified by the Frobenius norm of the commutator of two positive operators acting on space-like separated local Hilbert spaces. For times $t=O(L)$ correlations spread to distances $\\mc{D}=t$ growing diffusively for any distance within that radius with extensively suppressed distance dependent corrections whereas for $t=o(L^2)$ all parts of the system get almost equally correlated with exponentially suppressed distance dependent corrections and approach the maximum amount of correlations that may be established asymptotically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-10T14:26:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local random quantum circuits",
      "suppressed distance dependent corrections",
      "correlations",
      "separated local hilbert spaces",
      "propagation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150603323S"
    }
  }
}