Floating Entanglement Witness Measure and Genetic Algorithm

TL;DR

This paper introduces a new entanglement measure called floating entanglement witness measure and presents a genetic algorithm to compute it and find entanglement witnesses for quantum states.

Contribution

It proposes a novel entanglement measure and a classical genetic algorithm to compute it and identify entanglement witnesses, advancing quantum entanglement quantification methods.

Findings

The floating entanglement witness measure satisfies key properties of entanglement measures.

The genetic algorithm effectively computes the measure for given states.

The method can identify entanglement witnesses for specific quantum states.

Abstract

In this paper based on the notion of entanglement witness, a new measure of entanglement called floating entanglement witness measure is introduced which satisfies some of the usual properties of a good entanglement measure. By exploiting genetic algorithm, we introduce a classical algorithm that computes floating entanglement witness measure. This algorithm also provides a method for finding entanglement witness for a given entangled state.