{
  "annotation_id": "4fb96a20-b107-4874-94b1-5c3c50857fd4",
  "date_created": "2026-03-02T18:01:38.782000Z",
  "date_modified": "2026-03-02T18:01:38.782000Z",
  "file_hash": "993eb978f72f0b5ad046d1bd74288d18858fe1af5a284e7315e73668df84878e",
  "private": false,
  "record": {
    "abstract": "We present a measure of quantum entanglement which is capable of quantifying\nthe degree of entanglement of a multi-partite quantum system. This measure,\nwhich is based on a generalization of the Schmidt rank of a pure state, is\ndefined on the full state space and is shown to be an entanglement monotone,\nthat is, it cannot increase under local quantum operations with classical\ncommunication and under mixing. For a large class of mixed states this measure\nof entanglement can be calculated exactly, and it provides a detailed\nclassification of mixed states.",
    "arxiv_id": "quant-ph/0007081",
    "authors": [
      "J. Eisert",
      "H. -J. Briegel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.022306",
    "journal_ref": "Phys. Rev. A 64 (2001) 022306",
    "title": "The Schmidt Measure as a Tool for Quantifying Multi-Particle   Entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0007081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e3b35d35-d643-4096-b0c4-77bc75641193",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}