Full Additivity of the Entanglement of Formation

TL;DR

This paper introduces a flexible method for constructing fully additive multipartite entanglement measures and proves the conjecture that the Entanglement of Formation is fully additive, resolving a significant question in quantum information theory.

Contribution

It provides a new framework for building additive entanglement measures and proves the full additivity of the Entanglement of Formation, a longstanding conjecture.

Findings

Proof of full additivity of the Entanglement of Formation

Development of a general strategy for constructing additive entanglement monotones

Enhanced understanding of multipartite entanglement measures

Abstract

We present a general strategy that allows a more flexible method for the construction of fully additive multipartite entanglement monotones than the ones so far reported in the literature of axiomatic entanglement measures. Within this framework we give a proof of a conjecture of outstanding implications in information theory: the full additivity of the Entanglement of Formation.