{
  "annotation_id": "22d4cf9c-af54-402c-a5dd-6501cec1327c",
  "date_created": "2026-03-02T18:02:17.260000Z",
  "date_modified": "2026-03-02T18:02:17.260000Z",
  "file_hash": "a24db4703faafe11e410573e9400cb46b96608719735bf33d3b23b80e188d11f",
  "private": false,
  "record": {
    "abstract": "It is known that quantum correlations exhibited by a maximally entangled\nqubit pair can be simulated with the help of shared randomness, supplemented\nwith additional resources, such as communication, post-selection or non-local\nboxes. For instance, in the case of projective measurements, it is possible to\nsolve this problem with protocols using one bit of communication or making one\nuse of a non-local box. We show that this problem reduces to a distributed\nsampling problem. We give a new method to obtain samples from a biased\ndistribution, starting with shared random variables following a uniform\ndistribution, and use it to build distributed sampling protocols. This approach\nallows us to derive, in a simpler and unified way, many existing protocols for\nprojective measurements, and extend them to positive operator value\nmeasurements. Moreover, this approach naturally leads to a local hidden\nvariable model for Werner states.",
    "arxiv_id": "quant-ph/0507120",
    "authors": [
      "Julien Degorre",
      "Sophie Laplante",
      "J\u00e9r\u00e9mie Roland"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.062314",
    "journal_ref": "Phys. Rev. A 72, 062314 (2005)",
    "title": "Simulating quantum correlations as a distributed sampling problem",
    "url": "https://arxiv.org/abs/quant-ph/0507120"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9ae7e0f4-44ab-4e7b-8f3c-0615a8fc1d38",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}