{
  "annotation_id": "4c73fdd4-7231-48c3-93c2-12b5c80b6746",
  "date_created": "2026-03-02T18:02:20.701000Z",
  "date_modified": "2026-03-02T18:02:20.701000Z",
  "file_hash": "fbf44ea5ca8112802c90a3a1b10225e146558b4a172f05413122b40c2c4edc6f",
  "private": false,
  "record": {
    "abstract": "Quantum theory imposes a strict limit on the strength of non-local\ncorrelations. It only allows for a violation of the CHSH inequality up to the\nvalue 2 sqrt(2), known as Tsirelson\u0027s bound. In this note, we consider\ngeneralized CHSH inequalities based on many measurement settings with two\npossible measurement outcomes each. We demonstrate how to prove Tsirelson\nbounds for any such generalized CHSH inequality using semidefinite programming.\nAs an example, we show that for any shared entangled state and observables\nX_1,...,X_n and Y_1,...,Y_n with eigenvalues +/- 1 we have |\u003cX_1 Y_1\u003e + \u003cX_2\nY_1\u003e + \u003cX_2 Y_2\u003e + \u003cX_3 Y_2\u003e + ... + \u003cX_n Y_n\u003e - \u003cX_1 Y_n\u003e| \u003c= 2 n\ncos(pi/(2n)). It is well known that there exist observables such that equality\ncan be achieved. However, we show that these are indeed optimal. Our approach\ncan easily be generalized to other inequalities for such observables.",
    "arxiv_id": "quant-ph/0510076",
    "authors": [
      "Stephanie Wehner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.022110",
    "journal_ref": "Phys. Rev. A, 73, 022110 (2006)",
    "title": "Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities",
    "url": "https://arxiv.org/abs/quant-ph/0510076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "568a9f68-46ad-404a-b2e7-bdfa2dd33c38",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}