Relative Entropy of Entanglement for Two-Qubit State with $z$-directional Bloch Vectors

Abstract

So far there is no closed formula for relative entropy of entanglement of arbitrary two-qubit states. In this paper we present a method, which guarantees the derivation of the relative entropy of entanglement for most states that have $z$-directional Bloch vectors. It is shown that the closest separable states for those states also have $z$-directional Bloch vectors though there are few exceptions.

12pages, no figure, will appear in IJQI

References in corpus (2)

• Closed formula for the relative entropy of entanglement
• Difficulties in analytic computation for relative entropy of entanglement