{
  "annotation_id": "c972c27f-a3b9-4395-bfd0-b38a73dc7455",
  "date_created": "2026-03-02T18:02:16.739000Z",
  "date_modified": "2026-03-02T18:02:16.739000Z",
  "file_hash": "bf5a502725a75f1ef80a696ff610b7ff502cfdc23f40eeef18d19c9c4c587f7c",
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  "record": {
    "abstract": "Non existence of Universal NOT gate for arbitrary quantum mechanical states\nis a fundamental constraint on the allowed operations performed on physical\nsystems. The largest set of states that can be flipped by using a single NOT\ngate is the set of states lying on a great circle of the Bloch-sphere. In this\npaper, we show the impossibility of universal exact-flipping operation, first\nby using the fact that no faster than light communication is possible and then\nby using the principle of \"non-increase of entanglement under LOCC\".\nInterestingly, exact flipping of the states of any great circle does not\nviolate these two principles, as expected.",
    "arxiv_id": "quant-ph/0506154",
    "authors": [
      "Indrani Chattopadhyay",
      "Sujit K. Choudhary",
      "Guruprasad Kar",
      "Samir Kunkri",
      "Debasis Sarkar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2005.11.030",
    "journal_ref": "Phys. Lett. A, 351, 384-387 (2006)",
    "title": "No-Flipping as a consequence of No-Signalling and Non-increase of   Entanglement under LOCC",
    "url": "https://arxiv.org/abs/quant-ph/0506154"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "941c8438-446f-4d7f-a9b1-fecfd9e540ee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}