Lower Bounds of Entanglement Quantifiers Based On Entanglement Witnesses

TL;DR

This paper introduces a method to derive lower bounds for various entanglement measures in bipartite systems using entanglement witnesses, aiding quantification when system information is limited.

Contribution

It presents a novel approach leveraging entanglement criteria to estimate lower bounds of entanglement measures, enhancing quantification under partial information.

Findings

Derived lower bounds for concurrence, entanglement of formation, and geometrical entanglement.

Applicable to bipartite systems with limited information.

Provides a practical method for entanglement quantification.

Abstract

To quantify the entanglement of bipartite systems in terms of some entanglement measure is a challenging problem in general, and it is much worse when the information about the system is less. In this manuscript, based on two classes of entanglement criteria, we present a method to obtain the lower bounds of the entanglement measures, concurrence, entanglement of formation, and geometrical entanglement measure.