{
  "annotation_id": "4a52dad5-b403-4f02-b847-72675db328e2",
  "date_created": "2026-03-02T18:02:44.334000Z",
  "date_modified": "2026-03-02T18:02:44.334000Z",
  "file_hash": "8ac4c872b1ad0a3985ae35f9719b931400ccf8ec8c93d9c25654e397360e6f81",
  "private": false,
  "record": {
    "abstract": "We study the physical resources required to implement general quantum\noperations, and provide new bounds on the minimum possible size which an\nenvironment must be in order to perform certain quantum operations. We prove\nthat contrary to a previous conjecture, not all quantum operations on a\nsingle-qubit can be implemented with a single-qubit environment, even if that\nenvironment is initially prepared in a mixed state. We show that a mixed\nsingle-qutrit environment is sufficient to implement a special class of\noperations, the generalized depolarizing channels.",
    "arxiv_id": "quant-ph/9806095",
    "authors": [
      "B. M. Terhal",
      "I. L. Chuang",
      "D. P. DiVincenzo",
      "M. Grassl",
      "J. A. Smolin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.60.881",
    "journal_ref": "Phys.Rev.A60:881,1999",
    "title": "Simulating quantum operations with mixed environments",
    "url": "https://arxiv.org/abs/quant-ph/9806095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "29f60fd6-e713-4bce-bfd6-8b06625230c3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}