An additive and operational entanglement measure: conditional entanglement of mutual information

TL;DR

This paper introduces a new additive and operational entanglement measure called the conditional entanglement of mutual information, based on quantum conditioning and monogamy of entanglement, with applications to multipartite systems.

Contribution

It develops a novel additive entanglement measure using quantum conditioning, providing an operational interpretation and extending to multipartite entanglement.

Findings

Defines the conditional entanglement of mutual information

Provides an operational meaning related to partial state merging

Generalizes results to multipartite entanglement

Abstract

Based on the monogamy of entanglement, we develop the technique of quantum conditioning to build an {\it additive} entanglement measure: the conditional entanglement of mutual information. Its {\it operational} meaning is elaborated to be the minimal net "flow of qubits" in the process of partial state merging. The result and conclusion can also be generalized to multipartite entanglement cases.