dorsal/arxiv
View SchemaLocality and Causality in Hidden Variables Models of Quantum Theory
| Authors | Stefan Teufel, Karin Berndl, Detlef Dürr, Sheldon Goldstein, Nino Zangh\`ı |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9609005 |
| URL | https://arxiv.org/abs/quant-ph/9609005 |
| DOI | 10.1103/PhysRevA.56.1217 |
| Journal | Phys.Rev. A56 (1997) 1217 |
Abstract
Motivated by Popescu's example of hidden nonlocality, we elaborate on the conjecture that quantum states that are intuitively nonlocal, i.e., entangled, do not admit a local causal hidden variables model. We exhibit quantum states which either (i) are nontrivial counterexamples to this conjecture or (ii) possess a new kind of more deeply hidden irreducible nonlocality. Moreover, we propose a nonlocality complexity classification scheme suggested by the latter possibility. Furthermore, we show that Werner's (and similar) hidden variables models can be extended to an important class of generalized observables. Finally a result of Fine on the equivalence of stochastic and deterministic hidden variables is generalized to causal models.
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"abstract": "Motivated by Popescu\u0027s example of hidden nonlocality, we elaborate on the\nconjecture that quantum states that are intuitively nonlocal, i.e., entangled,\ndo not admit a local causal hidden variables model. We exhibit quantum states\nwhich either (i) are nontrivial counterexamples to this conjecture or (ii)\npossess a new kind of more deeply hidden irreducible nonlocality. Moreover, we\npropose a nonlocality complexity classification scheme suggested by the latter\npossibility. Furthermore, we show that Werner\u0027s (and similar) hidden variables\nmodels can be extended to an important class of generalized observables.\nFinally a result of Fine on the equivalence of stochastic and deterministic\nhidden variables is generalized to causal models.",
"arxiv_id": "quant-ph/9609005",
"authors": [
"Stefan Teufel",
"Karin Berndl",
"Detlef D\u00fcrr",
"Sheldon Goldstein",
"Nino Zangh\\`\u0131"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.1217",
"journal_ref": "Phys.Rev. A56 (1997) 1217",
"title": "Locality and Causality in Hidden Variables Models of Quantum Theory",
"url": "https://arxiv.org/abs/quant-ph/9609005"
},
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