{
  "id": "quant-ph/0008055",
  "version": "v1",
  "published": "2000-08-11T16:12:54.000Z",
  "updated": "2000-08-11T16:12:54.000Z",
  "title": "Product Bases in Quantum Information Theory",
  "authors": [
    "David P. DiVincenzo",
    "Barbara M. Terhal"
  ],
  "comment": "9 pages, 4 figures; submitted to the Proceedings of the XIII International Congress on Mathematical Physics",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We review the role of product bases in quantum information theory. We prove two conjectures which were made in DiVincenzo et al., quant-ph/9908070, namely the existence of two sets of bipartite unextendible product bases, in arbitrary dimensions, which are based on a tile construction. We pose some questions related to complete product bases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-08-11T16:12:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum information theory",
      "bipartite unextendible product bases",
      "complete product bases",
      "arbitrary dimensions",
      "conjectures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000quant.ph..8055D"
    }
  }
}