What is it about?

It is a work explaining in detail how the technique to come close or even obtain the convex roof for a given entanglement measure in a density matrix of rank two. It takes some emphasis on special decompositions of the density matrix, which in certain cases become optimal.

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Why is it important?

It is an important step towards a better understanding of how the convex roof construction will work for a density matrix of rank two with a glimpse also on higher rank: there we have the same convex structure behind which might involve similar solutions.


In this work I am explaining on two examples how the technique elaborated in earlier work really works and what is the logic behind.

Dr. Andreas Osterloh

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This page is a summary of: Exact zeros of entanglement for arbitrary rank-two mixtures derived from a geometric view of the zero polytope, December 2016, American Physical Society (APS), DOI: 10.1103/physreva.94.062333.
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