{
  "id": "1201.4870",
  "version": "v1",
  "published": "2012-01-23T21:16:51.000Z",
  "updated": "2012-01-23T21:16:51.000Z",
  "title": "Eigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves",
  "authors": [
    "Z. Gedik"
  ],
  "comment": "8 pages, no figures",
  "categories": [
    "quant-ph",
    "gr-qc"
  ],
  "abstract": "Einstein's field equations of gravitation are known to admit closed timelike curve (CTC) solutions. Deutsch approached the problem from the quantum information point of view and proposed a self-consistency condition. In this work, the Deutsch equation is formulated as an eigenvalue problem. The disappearance of entanglement between two qubits in an Einstein-Podolsky-Rosen (EPR) state near a CTC is demonstrated. The method is utilized to analyze the discontinuous evolution of two chronology respecting (CR) qubits near a CTC.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-23T21:16:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum mechanics",
      "eigenvalue formulation",
      "einsteins field equations",
      "quantum information point",
      "deutsch equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1085618
    }
  }
}