{
  "id": "1306.6732",
  "version": "v2",
  "published": "2013-06-28T07:02:55.000Z",
  "updated": "2014-02-18T07:32:30.000Z",
  "title": "A quantum algorithm for obtaining the energy spectrum of a physical system without guessing its eigenstates",
  "authors": [
    "Hefeng Wang"
  ],
  "comment": "11 pages, 4 figures",
  "journal": "Phys. Chem. Chem. Phys., 2014, 16 (30), 16241 - 16245",
  "doi": "10.1039/C4CP01351D",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We present a quantum algorithm that provides a general approach for obtaining the energy spectrum of a physical system without making a guess on its eigenstates. In this algorithm, a probe qubit is coupled to a quantum register $R$ which consists of one ancilla qubit and a $n$-qubit register that represents the system. $R$ is prepared in a general reference state, and a general excitation operator acts on $R$ is constructed. The probe exhibits a dynamical response only when it is resonant with a transition from the reference state to an excited state of $R$ which contains the eigenstates of the system. By varying the probe's frequency, the energy spectrum and the eigenstates of the system can be obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-18T07:32:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy spectrum",
      "quantum algorithm",
      "physical system",
      "eigenstates",
      "general excitation operator acts"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physical Chemistry Chemical Physics (Incorporating Faraday Transactions)",
      "year": 2014,
      "month": "Jul",
      "volume": 16,
      "number": 30,
      "pages": 16241
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PCCP...1616241W"
    }
  }
}