Detecting Entanglement with Jarzynski's Equality

TL;DR

This paper introduces a novel method for detecting quantum entanglement by leveraging non-equilibrium work measurements and the quantum Jarzynski equality, demonstrated on spin chain models.

Contribution

It proposes a new entanglement detection technique based on non-equilibrium thermodynamics and relative entropy, connecting quantum information with thermodynamic processes.

Findings

Entanglement can be detected via non-equilibrium work measurements.

The method is demonstrated on two different spin chain models.

A link between quantum Jarzynski equality and entanglement detection is established.

Abstract

We present a method for detecting the entanglement of a state using non-equilibrium processes. A comparison of relative entropies allows us to construct an entanglement witness. The relative entropy can further be related to the quantum Jarzynski equality, allowing non-equilibrium work to be used in entanglement detection. To exemplify our results, we consider two different spin chains.