Quantum speed limit helps interpret geometric measure of entanglement

TL;DR

This paper demonstrates that the geometric measure of multipartite entanglement can be understood as the shortest time required for a quantum state to evolve into a separable state, using quantum speed limit principles.

Contribution

It introduces a novel interpretation of the geometric measure of entanglement through quantum speed limits, linking entanglement quantification with dynamical evolution constraints.

Findings

Entanglement measure equals minimal evolution time to separability

Quantum speed limit provides a new perspective on entanglement quantification

The approach offers a dynamical interpretation of multipartite entanglement

Abstract

Using the approach offered by quantum speed limit, we show that geometric measure of multipartite entanglement for pure states [Phys. Rev. A 68, 042307(2003)] can be interpreted as the minimal time necessary to unitarily evolve a given quantum state to a separable one.