Construction of genuinely entangled subspaces and the associated bounds on entanglement measures for mixed states

Bounding Polynomial Entanglement Measures for Mixed States

Measures of entanglement in multipartite bound entangled states

Bound entangled states are states that are entangled but from which no entanglement can be distilled if all parties are allowed only local operations and classical communication. However, in creating these states one needs nonzero entanglement resources to start with. Here, the entanglement of two distinct multipartite bound entangled states is determined analytically in terms of a geometric me...

on the status of mixed methods research in applied linguistics

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Separability criteria and bounds for entanglement measures

Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable positive map which operates on state spaces with even dimension, N 4, and leads to a class of nondecomposable optimal entanglement witnesses. It is shown that the b...

Mixed maximally entangled states

We find that the mixed maximally entangled states exist and prove that the form of the mixed maximally entangled states is unique in terms of the entanglement of formation. Moreover, even if the entanglement is quantified by other entanglement measures, this conclusion is still proven right. This result is a supplementary to the generally accepted fact that all maximally entangled states are pu...