{
  "id": "1804.03924",
  "version": "v1",
  "published": "2018-04-11T11:10:17.000Z",
  "updated": "2018-04-11T11:10:17.000Z",
  "title": "Quantum Coherence and Path-Distinguishability of Two Entangled Particles",
  "authors": [
    "Misba Afrin",
    "Tabish Qureshi"
  ],
  "comment": "6 pages, 1 figure",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A modified ghost-interference experiment is theoretically analyzed, where one of the two entangled particles (particle 1) goes through a multi-slit before being detected at a fixed detector. In addition, one introduces a mechanism for finding out which of the n slits did particle 1 go through. The other particle of the entangled pair (particle 2) goes in a different direction, and is detected at a variable, spatially separated location. In coincident counting, particle 2 shows n-slit interference. It is shown that the normalized quantum coherence of particle 2, $\\mathcal{C}_2$, and the path-distinguishability of particle 1, $\\mathcal{D}_{Q1}$, are bounded by an inequality $\\mathcal{D}_{Q1} + \\mathcal{C}_2 \\le 1$. This is a kind of {\\em nonlocal} duality relation, which connects the path distinguishability of one particle to the quantum coherence of the other.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-11T11:10:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entangled particles",
      "path-distinguishability",
      "modified ghost-interference experiment",
      "n-slit interference",
      "normalized quantum coherence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}