{
  "annotation_id": "12bdbd1f-5ec8-4838-9cf0-58bda1e05d71",
  "date_created": "2026-03-02T18:01:38.618000Z",
  "date_modified": "2026-03-02T18:01:38.618000Z",
  "file_hash": "72881f31ba682c7699899fecf5287c1e8a933d354797c817f96f2ec4d3fe1a41",
  "private": false,
  "record": {
    "abstract": "We review the role of product bases in quantum information theory. We prove\ntwo conjectures which were made in DiVincenzo et al., quant-ph/9908070, namely\nthe existence of two sets of bipartite unextendible product bases, in arbitrary\ndimensions, which are based on a tile construction. We pose some questions\nrelated to complete product bases.",
    "arxiv_id": "quant-ph/0008055",
    "authors": [
      "David P. DiVincenzo",
      "Barbara M. Terhal"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Product Bases in Quantum Information Theory",
    "url": "https://arxiv.org/abs/quant-ph/0008055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "57a53b54-0b91-44b9-b105-3c1b34eb21d6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}