dorsal/arxiv
View SchemaBell Inequalities and the Separability Criterion
| Authors | Barbara M. Terhal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911057 |
| URL | https://arxiv.org/abs/quant-ph/9911057 |
| DOI | 10.1016/S0375-9601(00)00401-1 |
| Journal | Physics Letters A Vol. 271, 319 (2000) |
Abstract
We analyze and compare the mathematical formulations of the criterion for separability for bipartite density matrices and the Bell inequalities. We show that a violation of a Bell inequality can formally be expressed as a witness for entanglement. We also show how the criterion for separability and a description of the state by a local hidden variable theory, become equivalent when we restrict the set of local hidden variable theories to the domain of quantum mechanics. This analysis sheds light on the essential difference between the two criteria and may help us in understanding whether there exist entangled states for which the statistics of the outcomes of all possible local measurements can be described by a local hidden variable theory.
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"abstract": "We analyze and compare the mathematical formulations of the criterion for\nseparability for bipartite density matrices and the Bell inequalities. We show\nthat a violation of a Bell inequality can formally be expressed as a witness\nfor entanglement. We also show how the criterion for separability and a\ndescription of the state by a local hidden variable theory, become equivalent\nwhen we restrict the set of local hidden variable theories to the domain of\nquantum mechanics. This analysis sheds light on the essential difference\nbetween the two criteria and may help us in understanding whether there exist\nentangled states for which the statistics of the outcomes of all possible local\nmeasurements can be described by a local hidden variable theory.",
"arxiv_id": "quant-ph/9911057",
"authors": [
"Barbara M. Terhal"
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"doi": "10.1016/S0375-9601(00)00401-1",
"journal_ref": "Physics Letters A Vol. 271, 319 (2000)",
"title": "Bell Inequalities and the Separability Criterion",
"url": "https://arxiv.org/abs/quant-ph/9911057"
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