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

摘要

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