{
  "annotation_id": "cad018e7-1537-4ae0-bd71-3da4439fe59b",
  "date_created": "2026-03-02T18:01:56.565000Z",
  "date_modified": "2026-03-02T18:01:56.565000Z",
  "file_hash": "30447e0a33c2d3356acd282b1755bf3d200348cc9e771e7bc195cca7f20c391c",
  "private": false,
  "record": {
    "abstract": "We study several properties of distillation protocols to purify multilevel\nqubit states (qudits) when applied to a certain family of initial mixed\nbipartite states. We find that it is possible to use qudits states to increase\nthe stability region obtained with the flow equations to distill qubits. In\nparticular, for qutrits we get the phase diagram of the distillation process\nwith a rich structure of fixed points. We investigate the large-$D$ limit of\nqudits protocols and find an analytical solution in the continuum limit. The\ngeneral solution of the distillation recursion relations is presented in an\nappendix. We stress the notion of weight amplification for distillation\nprotocols as opposed to the quantum amplitude amplification that appears in the\nGrover algorithm. Likewise, we investigate the relations between quantum\ndistillation and quantum renormalization processes.",
    "arxiv_id": "quant-ph/0301099",
    "authors": [
      "M. A. Martin-Delgado",
      "M. Navascues"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "hep-th"
    ],
    "doi": "10.1140/epjd/e2003-00250-2",
    "journal_ref": "Eur.Phys.J. D27 (2003) 169-180",
    "title": "Distillation Protocols for Mixed States of Multilevel Qubits and the   Quantum Renormalization Group",
    "url": "https://arxiv.org/abs/quant-ph/0301099"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b5805449-2a5e-4bc3-908c-6756da08552d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}