{
  "id": "1504.03772",
  "version": "v1",
  "published": "2015-04-15T02:54:45.000Z",
  "updated": "2015-04-15T02:54:45.000Z",
  "title": "Continuous decomposition of quantum measurements via Hamiltonian feedback",
  "authors": [
    "Jan Florjanczyk",
    "Todd A. Brun"
  ],
  "comment": "4 pages, 2 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We characterize the set of generalized quantum measurements that can be decomposed into a continuous measurement process using a stream of probe qubits and a tunable interaction Hamilto- nian. Each probe in the stream interacts weakly with the target quantum system, then is measured projectively in a standard basis. This measurement result is used in a closed feedback loop to tune the interaction Hamiltonian for the next probe. The resulting evolution is a stochastic process with the structure of a one-dimensional random walk. To maintain this structure, and require that at long times the measurement outcomes be independent of the path, the allowed interaction Hamil- tonians must lie in a restricted set, such that the Hamiltonian terms on the target system form a finite dimensional Jordan algebra. This algebraic structure of the interaction Hamiltonians yields a large class of generalized measurements that can be continuously performed by our scheme, and we fully describe this set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-15T02:54:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum measurements",
      "hamiltonian feedback",
      "continuous decomposition",
      "finite dimensional jordan algebra",
      "interaction hamiltonians yields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}