{
  "annotation_id": "bb4d38c2-9036-4497-b1f3-76aad73b53a1",
  "date_created": "2026-03-02T18:02:27.388000Z",
  "date_modified": "2026-03-02T18:02:27.388000Z",
  "file_hash": "6803ca43f4111b610469e15e00f0f75551aa7d6ba8cee35fcd82f53b11763bff",
  "private": false,
  "record": {
    "abstract": "We present a generic method to construct a product basis exhibiting\nNonlocality Without Entanglement with $n$ parties each holding a system of\ndimension at least $n-1$. This basis is generated via a quantum circuit made of\ncontrol-Discrete Fourier Transform gates acting on the computational basis. The\nsimplicity of our quantum circuit allows for an intuitive understanding of this\nnew type of nonlocality. We also show how this circuit can be used to construct\nUnextendible Product Bases and their associated Bound Entangled States. To our\nknowledge, this is the first method which, given a general Hilbert space\n$\\bigotimes_{i=1}^n {\\cal H}_{d_i}$ with $d_i\\le n-1$, makes it possible to\nconstruct (i) a basis exhibiting Nonlocality Without Entanglement, (ii) an\nUnextendible Product Basis, and (iii) a Bound Entangled state.",
    "arxiv_id": "quant-ph/0606227",
    "authors": [
      "J. Niset",
      "N. J. Cerf"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.052103",
    "journal_ref": "Physical Review A, 74, 052103 (2006)",
    "title": "Multipartite Nonlocality without Entanglement in Many Dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0606227"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4918b9b8-d117-4fbd-9c96-27176cf00a99",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}