# Work extraction and fully entangled fraction

## TL;DR

This paper establishes a link between the fully entangled fraction of bipartite quantum states and the maximum work that can be extracted via Landauer's erasure process, providing bounds and interpretations relevant to quantum thermodynamics.

## Contribution

It proves that work can be extracted from bipartite states when the fully entangled fraction exceeds 1/d and offers an approximation method for the maximum extractable work.

## Key findings

- Work extraction is possible when fully entangled fraction > 1/d.
- Approximation of maximum work with negligible error in large systems.
- Potential thermodynamic interpretation of fully entangled fraction for isotropic states.

## Abstract

For a bipartite state with equal local dimension d, we prove that one can obtain work gain under Landauer's erasure process on one party in identically and independently distributed (iid) limit when the corresponding fully entangled fraction is larger than 1/d. By processing a given state to the maximally mixed state, we give an approximation for the largest extractable work with an error in the energy scale, which becomes negligible in the large system limit. As a step to link quantum thermodynamics and quantum nonlocality, we also provide a simple picture to approximate the optimal work extraction and suggest a potential thermodynamic interpretation of fully entangled fraction for isotropic states.