{
  "id": "0908.1674",
  "version": "v1",
  "published": "2009-08-12T10:45:30.000Z",
  "updated": "2009-08-12T10:45:30.000Z",
  "title": "A canonical form for Projected Entangled Pair States and applications",
  "authors": [
    "D. Perez-Garcia",
    "M. Sanz",
    "C. E. Gonzalez-Guillen",
    "M. M. Wolf",
    "J. I. Cirac"
  ],
  "comment": "10 pages, 16 figures",
  "journal": "New J. Phys. 12 (2010) 025010. The title of the journal version is \"Characterizing symmetries in a projected entangled pair state\"",
  "doi": "10.1088/1367-2630/12/2/025010",
  "categories": [
    "quant-ph",
    "cond-mat.str-el"
  ],
  "abstract": "We show that two different tensors defining the same translational invariant injective Projected Entangled Pair State (PEPS) in a square lattice must be the same up to a trivial gauge freedom. This allows us to characterize the existence of any local or spatial symmetry in the state. As an application of these results we prove that a SU(2) invariant PEPS with half-integer spin cannot be injective, which can be seen as a Lieb-Shultz-Mattis theorem in this context. We also give the natural generalization for U(1) symmetry in the spirit of Oshikawa-Yamanaka-Affleck, and show that a PEPS with Wilson loops cannot be injective.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-12T10:45:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "canonical form",
      "application",
      "invariant injective",
      "trivial gauge freedom",
      "square lattice"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "New Journal of Physics",
      "year": 2010,
      "month": "Feb",
      "volume": 12,
      "number": 2,
      "pages": "025010"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010NJPh...12b5010P"
    }
  }
}