{
  "id": "1903.08257",
  "version": "v1",
  "published": "2019-03-18T04:47:07.000Z",
  "updated": "2019-03-18T04:47:07.000Z",
  "title": "Quantum Circuits for Scale Transformations",
  "authors": [
    "Michael Park"
  ],
  "comment": "20 pages, 4 figures",
  "categories": [
    "quant-ph",
    "hep-th"
  ],
  "abstract": "In this note we develop quantum circuits for exactly simulating the thermal properties of the quantum XY/Ising chain. These circuits are applicable to the simplest integrable lattice models for which the exact momentum-space scattering-matrix can be constructed in terms of local two-body gates. We discuss a circuit analogy for Wilsonian renormalization group flow and show how it can be used to simulate a global coarse graining transformation. We then construct a circuit that transforms the ground state of these models into the thermo-field double state, and show how it can be used to implement a local scale transformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-18T04:47:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum circuits",
      "wilsonian renormalization group flow",
      "local scale transformation",
      "simplest integrable lattice models",
      "exact momentum-space scattering-matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}