{
  "id": "1811.00235",
  "version": "v1",
  "published": "2018-11-01T05:17:26.000Z",
  "updated": "2018-11-01T05:17:26.000Z",
  "title": "Typical Purification Reproducing the Time Evolution of an Open Quantum System",
  "authors": [
    "Koki Inoue",
    "Yoshiyuki Fukumoto"
  ],
  "comment": "3 pages",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "It is known that an arbitrary quantum state can always be expressed in a pure state by preparing an appropriate ancilla system, which is called purification. The purification can always be performed when considering only a quantity not dependent on the quantum state of the ancilla system. Otherwise, the possibility of purification cannot be elucidated. In this study, we focus on the cases where a quantum system S and the ancilla system interact with each other, and investigate whether purification, which correctly reproduces the time evolution of the system S, is possible. Accordingly, when the ancilla system is a macrosystem, it can be shown that this purification is possible for a specific initial state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-01T05:17:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open quantum system",
      "time evolution",
      "typical purification reproducing",
      "arbitrary quantum state",
      "appropriate ancilla system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}