Uniqueness of Entanglement Measure and Thermodynamics

TL;DR

This paper demonstrates that a unique entanglement measure for pure states can be derived using thermodynamic axioms, revealing a deep connection between quantum entanglement and thermodynamics.

Contribution

It establishes a formal link between entanglement measures and thermodynamic state transformations, extending the axiomatic approach to quantum information.

Findings

Unique entanglement measure derived for pure states

Mathematical similarity between entanglement manipulation and thermodynamic processes

Potential extensions to mixed and multi-partite states discussed

Abstract

We apply the axiomatic approach to thermodynamics presented by Giles to derive a unique measure of entanglement for bi-partite pure states. This implies that local manipulations of entanglement in quantum information theory and adiabatic transformations of states in thermodynamics have the same underlying mathematical structure. We discuss possible extensions of our results to mixed and multi-partite states.