dorsal/arxiv
View SchemaEntropic Bell Inequalities
| Authors | N. J. Cerf, C. Adami |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9608047 |
| URL | https://arxiv.org/abs/quant-ph/9608047 |
| DOI | 10.1103/PhysRevA.55.3371 |
| Journal | Phys.Rev. A55 (1997) 3371 |
Abstract
We derive entropic Bell inequalities from considering entropy Venn diagrams. These entropic inequalities, akin to the Braunstein-Caves inequalities, are violated for a quantum mechanical Einstein-Podolsky-Rosen pair, which implies that the conditional entropies of Bell variables must be negative in this case. This suggests that the satisfaction of entropic Bell inequalities is equivalent to the non-negativity of conditional entropies as a necessary condition for separability.
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"abstract": "We derive entropic Bell inequalities from considering entropy Venn diagrams.\nThese entropic inequalities, akin to the Braunstein-Caves inequalities, are\nviolated for a quantum mechanical Einstein-Podolsky-Rosen pair, which implies\nthat the conditional entropies of Bell variables must be negative in this case.\nThis suggests that the satisfaction of entropic Bell inequalities is equivalent\nto the non-negativity of conditional entropies as a necessary condition for\nseparability.",
"arxiv_id": "quant-ph/9608047",
"authors": [
"N. J. Cerf",
"C. Adami"
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"doi": "10.1103/PhysRevA.55.3371",
"journal_ref": "Phys.Rev. A55 (1997) 3371",
"title": "Entropic Bell Inequalities",
"url": "https://arxiv.org/abs/quant-ph/9608047"
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