Polygamy of Entanglement in Multipartite Quantum Systems
Jeong San Kim
TL;DR
This paper demonstrates that in multipartite quantum systems, entanglement distribution exhibits polygamous behavior, providing bounds and inequalities that characterize how entanglement can be shared among multiple parties.
Contribution
It introduces an analytic upper bound for concurrence of assistance and establishes a polygamy inequality for multipartite entanglement across arbitrary dimensions.
Findings
Derived an upper bound for concurrence of assistance.
Established a polygamy inequality for multipartite entanglement.
Showed that entanglement distribution is inherently polygamous.
Abstract
We show that bipartite entanglement distribution (or entanglement of assistance) in multipartite quantum systems is by nature polygamous. We first provide an analytic upper bound for the concurrence of assistance in bipartite quantum systems, and derive a polygamy inequality of multipartite entanglement in arbitrary dimensional quantum systems.
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