{
  "annotation_id": "b4eb3912-b860-4c9d-9060-2a8636060e28",
  "date_created": "2026-03-02T18:01:52.981000Z",
  "date_modified": "2026-03-02T18:01:52.981000Z",
  "file_hash": "1ff95a502ed1a0b64b33ce053dfb94f2d4b9e381a0f6348cf3f8dc0fa1abfa44",
  "private": false,
  "record": {
    "abstract": "The main objective of the paper is to unveil an adequate mathematics hidden\nbehind entanglement, that is Geometric Invariant Theory. More specifically\nrelation between these two subjects can be described by the following theses.\n  (i) Total variance of completely entangled state is maximal. (ii) This\ndistinguishes the state as a minimal vector in its orbit under action of\ncomplexified dynamic group.\n  (iii) An ultimate aim of Geometric Invariant Theory is a description of\ncomplex orbits and their minimal vectors. It suggests that noncompletely\nentangled states are just GIT semistable vectors.",
    "arxiv_id": "quant-ph/0206012",
    "authors": [
      "Alexander Klyachko"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Coherent states, entanglement, and geometric invariant theory",
    "url": "https://arxiv.org/abs/quant-ph/0206012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e7092a0-31a4-400f-a249-a299c8435d3c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}