{
  "id": "2407.01669",
  "version": "v1",
  "published": "2024-07-01T18:00:01.000Z",
  "updated": "2024-07-01T18:00:01.000Z",
  "title": "Reflection and Transmission Amplitudes in a Digital Quantum Simulation",
  "authors": [
    "Giuseppe Mussardo",
    "Andrea Stampiggi",
    "Andrea Trombettoni"
  ],
  "comment": "9+4 pages, 8+6 figures",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "hep-th"
  ],
  "abstract": "In this paper we show how to measure in the setting of digital quantum simulations the reflection and transmission amplitudes of the one-dimensional scattering of a particle with a short-ranged potential. The main feature of the protocol is the coupling between the particle and an ancillary spin-1/2 degree of freedom. This allows us to reconstruct tomographically the scattering amplitudes, which are in general complex numbers, from the readout of one qubit. Applications of our results are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-01T18:00:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "digital quantum simulation",
      "transmission amplitudes",
      "reflection",
      "general complex numbers",
      "main feature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}