{
  "annotation_id": "9bbf8239-5b19-44b2-bace-c60a1559b1d8",
  "date_created": "2026-03-02T18:02:27.389000Z",
  "date_modified": "2026-03-02T18:02:27.389000Z",
  "file_hash": "f0f4792fcb2f1d3b69f7e43b7c73254c2aaaffd6a1a898917212897d71796cf9",
  "private": false,
  "record": {
    "abstract": "No-Cloning and No-Deleting theorems are verified with the constraint on local\nstate transformations via the existence of incomparable states. Assuming the\nexistence of exact cloning or deleting operation defined on a minimum number of\ntwo arbitrary states, an incomparable pair of states of the joint system\nbetween two parties can be made to compare under deterministic LOCC. We have\nrestricted our proof with the assumption that the machine states of the cloning\nor deleting operations do not keep any information about the input states. We\nuse the same setting to establish the no-cloning and no-deleting theorems via\nincomparability that supports the reciprocity of the two operations in their\noperational senses. The work associates the impossibility of operations with\nthe evolution of an entangled system by LOCC.",
    "arxiv_id": "quant-ph/0606206",
    "authors": [
      "Amit Bhar",
      "Indrani Chattopadhyay",
      "Debasis Sarkar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s11128-006-0041-2",
    "journal_ref": "Quantum Information Processing, 6 (2007) 93-99",
    "title": "No-Cloning and No-Deleting theorems through the existence of   Incomparable states under LOCC",
    "url": "https://arxiv.org/abs/quant-ph/0606206"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "63adbfac-b8c7-4cf0-84c7-3cdd1bba58eb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}