Lower bound of multipartite concurrence based on sub-multipartite quantum systems

TL;DR

This paper derives an analytical lower bound for the concurrence of multipartite quantum systems, improving existing bounds and generalizing the approach to higher-party systems.

Contribution

It introduces a new lower bound for multipartite concurrence based on sub-multipartite systems, enhancing accuracy and applicability.

Findings

Lower bound for four-partite concurrence derived

Examples show improved bounds over previous methods

Method extended to five-partite systems

Abstract

We study the concurrence of arbitrary dimensional multipartite quantum systems. An explicit analytical lower bound of concurrence for four-partite mixed states is obtained in terms of the concurrences of tripartite mixed states. Detailed examples are given to show that our lower bounds improve the existing lower bounds of concurrence. The approach is generalized to five-partite quantum systems.