{
  "id": "2411.09084",
  "version": "v1",
  "published": "2024-11-13T23:27:47.000Z",
  "updated": "2024-11-13T23:27:47.000Z",
  "title": "Real-time measurement error mitigation for one-way quantum computation",
  "authors": [
    "Tobias Hartung",
    "Stephan Schuster",
    "Joachim von Zanthier",
    "Karl Jansen"
  ],
  "comment": "11 pages, 10 figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We propose a quantum error mitigation scheme for single-qubit measurement errors, particularly suited for one-way quantum computation. Contrary to well established error mitigation methods for circuit-based quantum computation, that require to run the circuits several times, our method is capable of mitigating measurement errors in real-time, during the processing measurements of the one-way computation. For that, an ancillary qubit register is entangled with the to-be-measured qubit and additionally measured afterwards. By using a voting protocol on all measurement outcomes, occurring measurement errors can be mitigated in real-time while the one-way computation continues. We provide an analytical expression for the probability to detect a measurement error in dependency of the error rate and the number of ancilla qubits. From this, we derive an estimate of the ancilla register size for a given measurement error rate and a required success probability to detect a measurement error. Additionally, we also consider the CNOT gate error in our mitigation method and investigate how this influences the probability to detect a measurement error. Finally, we show in proof-of-principle simulations, also considering a hardware noise model, that our method is capable of reducing the measurement errors significantly in a one-way quantum computation with only a small number of ancilla qubits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-13T23:27:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-way quantum computation",
      "real-time measurement error mitigation",
      "mitigation method",
      "one-way computation",
      "quantum error mitigation scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}