dorsal/arxiv
View SchemaThe Extent of Multi-particle Quantum Non-locality
| Authors | Nick S. Jones, Noah Linden, Serge Massar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407018 |
| URL | https://arxiv.org/abs/quant-ph/0407018 |
| DOI | 10.1103/PhysRevA.71.042329 |
| Journal | Physical Review A 71, 042329 (2005) |
Abstract
It is well known that entangled quantum states can be nonlocal: the correlations between local measurements carried out on these states cannot always be reproduced by local hidden variable models. Svetlichny, followed by others, showed that multipartite quantum states are even more nonlocal than bipartite ones in the sense that nonlocal classical models with (super-luminal) communication between some of the parties cannot reproduce the quantum correlations. Here we study in detail the kinds of nonlocality present in quantum states. More precisely we enquire what kinds of classical communication patterns cannot reproduce quantum correlations. By studying the extremal points of the space of all multiparty probability distributions, in which all parties can make one of a pair of measurements each with two possible outcomes, we find a necessary condition for classical nonlocal models to reproduce the statistics of all quantum states. This condition extends and generalises work of Svetlichny and others in which it was shown that a particular class of classical nonlocal models, the ``separable'' models, cannot reproduce the statistics of all multiparticle quantum states. Our condition shows that the nonlocality present in some entangled multiparticle quantum states is much stronger than previously thought. We also study the sufficiency of our condition.
{
"annotation_id": "fffc7a62-baec-439b-a03a-1c30dc2ea47a",
"date_created": "2026-03-02T18:02:10.277000Z",
"date_modified": "2026-03-02T18:02:10.277000Z",
"file_hash": "af3921b970b17cc2f3b27b6ff35c31e70a812542ebb238f528edb862ba1e863b",
"private": false,
"record": {
"abstract": "It is well known that entangled quantum states can be nonlocal: the\ncorrelations between local measurements carried out on these states cannot\nalways be reproduced by local hidden variable models. Svetlichny, followed by\nothers, showed that multipartite quantum states are even more nonlocal than\nbipartite ones in the sense that nonlocal classical models with (super-luminal)\ncommunication between some of the parties cannot reproduce the quantum\ncorrelations. Here we study in detail the kinds of nonlocality present in\nquantum states. More precisely we enquire what kinds of classical communication\npatterns cannot reproduce quantum correlations. By studying the extremal points\nof the space of all multiparty probability distributions, in which all parties\ncan make one of a pair of measurements each with two possible outcomes, we find\na necessary condition for classical nonlocal models to reproduce the statistics\nof all quantum states. This condition extends and generalises work of\nSvetlichny and others in which it was shown that a particular class of\nclassical nonlocal models, the ``separable\u0027\u0027 models, cannot reproduce the\nstatistics of all multiparticle quantum states. Our condition shows that the\nnonlocality present in some entangled multiparticle quantum states is much\nstronger than previously thought. We also study the sufficiency of our\ncondition.",
"arxiv_id": "quant-ph/0407018",
"authors": [
"Nick S. Jones",
"Noah Linden",
"Serge Massar"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.042329",
"journal_ref": "Physical Review A 71, 042329 (2005)",
"title": "The Extent of Multi-particle Quantum Non-locality",
"url": "https://arxiv.org/abs/quant-ph/0407018"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c3fbc225-5eb0-4668-8b92-934602ebce31",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}