Multipartite Generalization of Geometric measure of Discord

TL;DR

This paper extends the geometric measure of quantum discord to multipartite systems, providing explicit formulas and a general framework for N-partite quantum states, enhancing the understanding of quantum correlations.

Contribution

It introduces a novel generalization of the geometric measure of quantum discord for multipartite systems with explicit formulas for N-qubit states.

Findings

Derived generic forms for N-partite quantum discord

Obtained exact formulas for N-qubit states

Unified framework consistent with bipartite discord

Abstract

Radhakrishnan et.al [Phys. Rev. Lett. 124, 110401 (2020)] proposed a generalization of quantum discord to multipartite systems, which is consistency with the conventional definition of discord in bipartite systems and derived explicit formulae for any states. These results are significant in capturing quantum correlations for multi-qubit systems. We propose a generalization of geometric measure of multipartite quantum discord in the same manner. We find generic forms of the generalization of geometric measure of quantum discord in a general N-partite quantum state. Further, we obtain computable exact formulas for the generalization of geometric measure of quantum discord in an N-qubit quantum state, which include the results obtained in [arXiv:2104.12344].