Family of Quantum Mutual Information in Multiparty Quantum Systems

TL;DR

This paper introduces a family of multiparty quantum mutual information measures and generalized conditional mutual information to better understand correlations in complex quantum systems, advancing foundational quantum information theory.

Contribution

It proposes new measures and interpretations for multiparty quantum mutual information, addressing complex correlations and unresolved issues in quantum information characterization.

Findings

Defined generalized conditional mutual information.

Developed multiple formulations of multiparty quantum mutual information.

Enhanced understanding of classical, quantum, and total correlations.

Abstract

The characterization of information within a multiparty system is both significant and complex. This paper presents the concept of generalized conditional mutual information, along with a family of multiparty quantum mutual information measures. We provide interpretations and delineate the properties of these concepts, while also pointing out certain unresolved issues. The generalized conditional mutual information serves to encapsulate the interdependencies and correlations among various components of a multiparty quantum system. Additionally, various formulations of multiparty quantum mutual information contribute to a deeper comprehension of classical, quantum, and total correlations. These insights have the potential to propel fundamental research in the field of quantum information theory.