Linking a distance measure of entanglement to its convex roof

Linking a distance measure of entanglement to its convex roof

An important problem in quantum information theory is the quantification of entanglement in multipartite mixed quantum states. In this work, a connection between the geometric measure of entanglement and a distance measure of entanglement is established. We present a new expression for the geometric measure of entanglement in terms of the maximal fidelity with a separable state. A direct applic...

Evaluating convex roof entanglement measures - Supplemental Material

Géza Tóth,1, 2, 3, ∗ Tobias Moroder,4 and Otfried Gühne4 Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, E-48080 Bilbao, Spain IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary Naturwissenschaftlich-Technische Fakultät, Universität Si...

Revision of a fuzzy distance measure

Some properties of a new fuzzy distance measure

Convex hulls of varieties and entanglement measures based on the roof construction

In this paper we study the problem of calculating the convex hull of certain affine algebraic varieties. As we explain, the motivation for considering this problem is that certain pure-state measures of quantum entanglement, which we call polynomial entanglement measures, can be represented as affine algebraic varieties. We consider the evaluation of certain mixed-state extensions of these poly...