On Ergotropic Gap of Tripartite Separable Systems

TL;DR

This paper derives an analytical upper bound for the ergotropic gap in tripartite separable quantum states, providing a new criterion for separability and insights into quantum thermodynamics.

Contribution

It introduces a novel analytical upper bound for the ergotropic gap in tripartite systems, aiding in separability detection.

Findings

The upper bound serves as a necessary separability criterion.

Examples demonstrate the criterion's effectiveness.

The work advances understanding of quantum thermodynamic properties.

Abstract

Extracting work from quantum system is one of the important areas in quantum thermodynamics. As a significant thermodynamic quantity, the ergotropy gap characterizes the difference between the global and local maximum extractable works. We derive an analytical upper bound of the ergotropic gap with respect to $d\times d\times d$ tripartite separable states. This bound also provides a necessary criterion for the separability of tripartite states. Detailed examples are presented to illustrate the efficiency of this separability criterion.