{
  "annotation_id": "b7da72e2-7eda-40c5-bd38-a8190c0aecb3",
  "date_created": "2026-03-02T18:01:42.260000Z",
  "date_modified": "2026-03-02T18:01:42.260000Z",
  "file_hash": "60735e9edf1a5a74362acbe6479abc2258fcfde4a8e1e999d43d9ee5d3a68ee1",
  "private": false,
  "record": {
    "abstract": "We provide several applications of a previously introduced isomorphism\nbetween physical operations acting on two systems and entangled states [1]. We\nshow: (i) how to implement (weakly) non-local two qubit unitary operations with\na small amount of entanglement; (ii) that a known, noisy, non-local unitary\noperation as well as an unknown, noisy, local unitary operation can be\npurified; (iii) how to perform the tomography of arbitrary, unknown, non-local\noperations; (iv) that a set of local unitary operations as well as a set of\nnon-local unitary operations can be stored and compressed; (v) how to implement\nprobabilistically two-qubit gates for photons. We also show how to compress a\nset of bipartite entangled states locally, as well as how to implement certain\nnon-local measurements using a small amount of entanglement. Finally, we\ngeneralize some of our results to multiparty systems.",
    "arxiv_id": "quant-ph/0012148",
    "authors": [
      "W. D\u00fcr",
      "J. I. Cirac"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.012317",
    "journal_ref": "Phys. Rev. A 64, 012317 (2001)",
    "title": "Non-local Operations: Purification, storage, compression, tomography,   and probabilistic implementation",
    "url": "https://arxiv.org/abs/quant-ph/0012148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "23da8dfd-6e7e-4233-b878-1d8121c91880",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}