{
  "id": "1011.2628",
  "version": "v2",
  "published": "2010-11-11T12:24:03.000Z",
  "updated": "2010-12-17T10:48:15.000Z",
  "title": "Shor's quantum algorithm using electrons in semiconductor nanostructures",
  "authors": [
    "Fabrizio Buscemi"
  ],
  "comment": "22 pages, 7 figures",
  "journal": "Phys. Rev. A 83, 012302 (2011)",
  "doi": "10.1103/PhysRevA.83.012302",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Shor's factoring algorithm illustrates the potential power of quantum computation. Here we present and numerically investigate a proposal for a compiled version of such an algorithm based on a quantum-wire network exploiting the potentialities of fully coherent electron transport assisted by the surface acoustic waves. Specifically, a non standard approach is used to implement, in a simple form, the quantum circuits of the modular exponentiation execution for the simplest instance of the Shor's algorithm, that is the factorization of $N$=15. The numerical procedure is based on a time-dependent solution of the multi-particle Schr\\\"odinger equation. The near-ideal algorithm performance and the large estimated fidelity indicate the efficiency of the protocol implemented, which also results to be almost unsensitive to small destabilizing effects during quantum computation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-17T10:48:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Ac",
      "73.63.Nm"
    ],
    "keywords": [
      "shors quantum algorithm",
      "semiconductor nanostructures",
      "coherent electron transport",
      "quantum computation",
      "shors factoring algorithm illustrates"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2011,
      "month": "Jan",
      "volume": 83,
      "number": 1,
      "pages": "012302"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvA..83a2302B"
    }
  }
}