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arXiv · 1207.1652

Geometric discord and Measurement-induced nonlocality for well known bound entangled states

Swapan Rana·Preeti Parashar
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Abstract

We employ geometric discord and measurement induced nonlocality to quantify non classical correlations of some well-known bipartite bound entangled states, namely the two families of Horodecki's ($2\otimes 4$, $3\otimes 3$ and $4\otimes 4$ dimensional) bound entangled states and that of Bennett etal's in $3\otimes 3$ dimension. In most of the cases our results are analytic and both the measures attain relatively small value. The amount of quantumness in the $4\otimes 4$ bound entangled state of Benatti etal and the $2\otimes 8$ state having the same matrix representation (in computational basis) is same. Coincidently, the $2m\otimes 2m$ Werner and isotropic states also exhibit the same property, when seen as $2\otimes 2m^2$ dimensional states.

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Swapan Rana, Preeti Parashar. 2013-02-07. Geometric discord and Measurement-induced nonlocality for well known bound entangled states. https://doi.org/10.1007/s11128-013-0545-5

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