{
  "id": "1510.03859",
  "version": "v1",
  "published": "2015-10-13T20:13:15.000Z",
  "updated": "2015-10-13T20:13:15.000Z",
  "title": "Hybrid quantum-classical approach to correlated materials",
  "authors": [
    "Bela Bauer",
    "Dave Wecker",
    "Andrew J. Millis",
    "Matthew B. Hastings",
    "M. Troyer"
  ],
  "comment": "10 pages, 5 figures",
  "categories": [
    "quant-ph",
    "cond-mat.str-el"
  ],
  "abstract": "Recent improvements in control of quantum systems make it seem feasible to finally build a quantum computer within a decade. While it has been shown that such a quantum computer can in principle solve certain small electronic structure problems and idealized model Hamiltonians, the highly relevant problem of directly solving a complex correlated material appears to require a prohibitive amount of resources. Here, we show that by using a hybrid quantum-classical algorithm that incorporates the power of a small quantum computer into a framework of classical embedding algorithms, the electronic structure of complex correlated materials can be efficiently tackled using a quantum computer. In our approach, the quantum computer solves a small effective quantum impurity problem that is self-consistently determined via a feedback loop between the quantum and classical computation. Use of a quantum computer enables much larger and more accurate simulations than with any known classical algorithm, and will allow many open questions in quantum materials to be resolved once a small quantum computer with around one hundred logical qubits becomes available.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-13T20:13:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hybrid quantum-classical approach",
      "small quantum computer",
      "small effective quantum impurity problem",
      "small electronic structure problems",
      "complex correlated material appears"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151003859B"
    }
  }
}