{
  "id": "1510.00820",
  "version": "v1",
  "published": "2015-10-03T13:39:07.000Z",
  "updated": "2015-10-03T13:39:07.000Z",
  "title": "Quantum algorithm for obtaining the eigenstates of a physical system",
  "authors": [
    "Hefeng Wang"
  ],
  "comment": "14 pages, 5 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We propose a quantum algorithm for solving the following problem: given the Hamiltonian of a physical system and one of its eigenvalues, how to obtain the corresponding eigenstate? The algorithm is based on the resonance phenomena. For a probe qubit coupled to a quantum system, the system exhibits a resonance dynamics when the frequency of the probe qubit matches a transition frequency in the system. Therefore the system can be guided to evolve to the eigenstate with known eigenvalue by inducing resonance between the probe qubit and a designed transition in the system. This algorithm can also be used to obtain the energy spectrum of a physical system and can achieve even a quadratic speedup over the phase estimation algorithm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-03T13:39:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "physical system",
      "quantum algorithm",
      "eigenstate",
      "probe qubit matches",
      "phase estimation algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151000820W"
    }
  }
}