dorsal/arxiv
View SchemaMixedness in Bell-violation vs. Entanglement of Formation
| Authors | Sibasish Ghosh, Guruprasad Kar, Aditi Sen De, Ujjwal Sen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0104007 |
| URL | https://arxiv.org/abs/quant-ph/0104007 |
| DOI | 10.1103/PhysRevA.64.044301 |
Abstract
Recently Munro, Nemoto and White (The Bell Inequality: A measure of Entanglement?, quant-ph/0102119) tried to indicate that the reason behind a state rho having higher amount of entanglement (as quantified by the entanglement of formation) than a state eta, but producing the same amount of Bell-violation, is due to the fact that the amount of mixedness (as quantified by the linearised entropy) in rho is higher than that in eta. We counter their argument with examples. We extend these considerations to the von Neumann entropy. Our results suggest that the reason as to why equal amount of Bell-violation requires different amounts of entanglement cannot, at least, be explained by mixedness alone.
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"date_created": "2026-03-02T18:01:42.355000Z",
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"abstract": "Recently Munro, Nemoto and White (The Bell Inequality: A measure of\nEntanglement?, quant-ph/0102119) tried to indicate that the reason behind a\nstate rho having higher amount of entanglement (as quantified by the\nentanglement of formation) than a state eta, but producing the same amount of\nBell-violation, is due to the fact that the amount of mixedness (as quantified\nby the linearised entropy) in rho is higher than that in eta. We counter their\nargument with examples. We extend these considerations to the von Neumann\nentropy. Our results suggest that the reason as to why equal amount of\nBell-violation requires different amounts of entanglement cannot, at least, be\nexplained by mixedness alone.",
"arxiv_id": "quant-ph/0104007",
"authors": [
"Sibasish Ghosh",
"Guruprasad Kar",
"Aditi Sen De",
"Ujjwal Sen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.044301",
"title": "Mixedness in Bell-violation vs. Entanglement of Formation",
"url": "https://arxiv.org/abs/quant-ph/0104007"
},
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