Family of quantum mutual information in multiparty quantum systems

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 classical, quantum, and total correlations. These insights have the potential to propel fundamental research the field of quantum information theory.