Multipartite Two-partite Quantum Correlation and Its Three Types of Measures

TL;DR

This paper introduces a new way to describe multipartite quantum correlations using three types of measures, offering clearer physical insights and easier computation for applications in quantum technologies.

Contribution

It proposes a novel multipartite two-partite quantum correlation framework with three distinct measures, enhancing understanding and practical analysis of complex quantum correlations.

Findings

Three types of measures for MQC are introduced and analyzed.

The measures are computationally simple and suitable for quantum technology applications.

The organization and structure of genuine MQCs are explored using these measures.

Abstract

Multipartite quantum correlation (MQC) not only explains many novel microscopic and macroscopic quantum phenomena, but also holds promise for specific quantum technologies with superiorities. MQCs descriptions and measures have been an open topic, due to their rich and complex organization and structure. Here reconsidering MQC descriptions and their practical applications in some quantum technologies, we propose a novel description called multipartite two-partite QC, which provides an intuitive and clear physical picture. Specifically, we present three types of measures: one class based on minimal entropy-like difference of local measurement fore-and-aft multipartite two-partite density matrix such as multipartite two-partite quantum discord (QD), another class based on minimal trace-like geometric distance such as multipartite two-partite Hilbert-Schmidt Distance (HSD), and a third class based on decoherence such as multipartite two-partite Local Measurement-Induced Minimal Decoherence (LMIMD) and Local Eigen-Measurement-Induced Decoherence (LEMID). Their computations required for these measures are relatively easy. All of the advantages make them promising candidates for specific potential applications in various quantum technologies. Finally, we employ these three types of measures to explore the organization and structure of some typical genuine MQCs, and analyze their relative characteristics based on their physical implications and mathematical structures.