Mixedness in Bell-violation vs. Entanglement of Formation

Details Mixedness in Bell-violation vs. Entanglement of Formation Mixedness in Bell-violation vs. Entanglement of Formation

2001-04-02

arxiv.org/abs/quant-ph/0104007v2

Physics

Quantum Physics

4 pages latex, no figures

Scientific paper

10.1103/PhysRevA.64.044301

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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