{
  "id": "quant-ph/0601034",
  "version": "v2",
  "published": "2006-01-05T06:57:43.000Z",
  "updated": "2007-03-28T19:46:36.000Z",
  "title": "Direct Characterization of Quantum Dynamics: General Theory",
  "authors": [
    "M. Mohseni",
    "D. A. Lidar"
  ],
  "comment": "17 pages, 6 figures, minor modifications are made",
  "journal": "Phys. Rev. A 75, 062331 (2007)",
  "doi": "10.1103/PhysRevA.75.062331",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The characterization of the dynamics of quantum systems is a task of both fundamental and practical importance. A general class of methods which have been developed in quantum information theory to accomplish this task is known as quantum process tomography (QPT). In an earlier paper [M. Mohseni and D. A. Lidar, Phys. Rev. Lett. 97, 170501 (2006)] we presented a new algorithm for Direct Characterization of Quantum Dynamics (DCQD) of two-level quantum systems. Here we provide a generalization by developing a theory for direct and complete characterization of the dynamics of arbitrary quantum systems. In contrast to other QPT schemes, DCQD relies on quantum error-detection techniques and does not require any quantum state tomography. We demonstrate that for the full characterization of the dynamics of n d-level quantum systems (with d a power of a prime), the minimal number of required experimental configurations is reduced quadratically from d^{4n} in separable QPT schemes to d^{2n} in DCQD.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-28T19:46:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum dynamics",
      "direct characterization",
      "general theory",
      "qpt schemes",
      "quantum process tomography"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}