{
  "id": "1809.03352",
  "version": "v1",
  "published": "2018-09-10T14:32:14.000Z",
  "updated": "2018-09-10T14:32:14.000Z",
  "title": "Experimental Simulation of Bosonic Creation and Annihilation Operators in a Quantum Processor",
  "authors": [
    "Xiangyu Kong",
    "Shijie Wei",
    "Jingwei Wen",
    "Guilu Long"
  ],
  "comment": "7 pages, 8 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The ability of implementing quantum operations plays fundamental role in manipulating quantum systems. Creation and annihilation operators which transform a quantum state to another by adding or subtracting a particle are crucial of constructing quantum description of many body quantum theory and quantum field theory. Here we present a quantum algorithm to perform them by the linear combination of unitary operations associated with a two-qubit ancillary system. Our method can realize creation and annihilation operators simultaneously in the subspace of the whole system. A prototypical experiment was performed with a 4-qubit Nuclear Magnetic Resonance processor, demonstrating the algorithm via full state tomography. The creation and annihilation operators are realized with a fidelity all above 96% and a probability about 50%. Moreover, our method can be employed to quantum random walk in an arbitrary initial state. With the prosperous development of quantum computing, our work provides a quantum control technology to implement non-unitary evolution in near-term quantum computer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-10T14:32:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "annihilation operators",
      "experimental simulation",
      "quantum processor",
      "bosonic creation",
      "quantum operations plays fundamental role"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}