Bures measure of entanglement of an arbitrary state of two qubits

TL;DR

This paper derives an explicit formula for the Bures measure of entanglement for two-qubit states, building on previous work on entanglement of formation, and confirms its validity as an entanglement measure.

Contribution

It provides the first explicit expression for the Bures measure of entanglement for two qubits, expanding the toolkit for quantifying quantum entanglement.

Findings

Derived an explicit formula for the Bures measure of entanglement.

Confirmed the measure satisfies all properties of an entanglement measure.

Connects the measure to existing entanglement quantification methods.

Abstract

In Phys. Rev. Lett. 80, 2245 (1998) an explicit expression for entanglement of formation for any two qubit state was given. Based on this result we present an expression for the Bures measure of entanglement for two qubit states. This measure was proposed in Phys. Rev. A 57, 1619 (1998), where the authors showed that it satisfies all properties every entanglement measure must have.