dorsal/arxiv
View SchemaOn separability of quantum states and the violation of Bell-type inequalities
| Authors | Elena R. Loubenets |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310116 |
| URL | https://arxiv.org/abs/quant-ph/0310116 |
| DOI | 10.1103/PhysRevA.69.042102 |
| Journal | Phys. Rev. A 69, 042102 (2004); also in Virtual J. Quantum Information 4 (2004), No 4 |
Abstract
In contrast to the wide-spread opinion that any separable quantum state satisfies every classical probabilistic constraint, we present a simple example where a separable quantum state does not satisfy the original Bell inequality although the latter inequality, in its perfect correlation form, is valid for all joint classical measurements. In a very general setting, we discuss inequalities for joint experiments upon a bipartite quantum system in a separable state. We derive quantum analogues of the original Bell inequality and specify the conditions sufficient for a separable state to satisfy the original Bell inequality. We introduce the extended CHSH inequality and prove that, for any separable quantum state, this inequality holds for a variety of linear combinations.
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"abstract": "In contrast to the wide-spread opinion that any separable quantum state\nsatisfies every classical probabilistic constraint, we present a simple example\nwhere a separable quantum state does not satisfy the original Bell inequality\nalthough the latter inequality, in its perfect correlation form, is valid for\nall joint classical measurements. In a very general setting, we discuss\ninequalities for joint experiments upon a bipartite quantum system in a\nseparable state. We derive quantum analogues of the original Bell inequality\nand specify the conditions sufficient for a separable state to satisfy the\noriginal Bell inequality. We introduce the extended CHSH inequality and prove\nthat, for any separable quantum state, this inequality holds for a variety of\nlinear combinations.",
"arxiv_id": "quant-ph/0310116",
"authors": [
"Elena R. Loubenets"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1103/PhysRevA.69.042102",
"journal_ref": "Phys. Rev. A 69, 042102 (2004); also in Virtual J. Quantum\n Information 4 (2004), No 4",
"title": "On separability of quantum states and the violation of Bell-type inequalities",
"url": "https://arxiv.org/abs/quant-ph/0310116"
},
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