Monogamy relations of concurrence for any dimensional quantum systems

TL;DR

This paper derives monogamy relations for entanglement measures in high-dimensional multipartite quantum systems, providing bounds and restrictions on entanglement distribution.

Contribution

It introduces new monogamy relations based on concurrence for any dimensional systems and generalizes the approach to multipartite states.

Findings

Derived monogamy relations for arbitrary dimensional systems.

Provided lower bounds of concurrence for four-partite mixed states.

Generalized the approach to multipartite quantum systems.

Abstract

We study monogamy relations for arbitrary dimensional multipartite systems. Monogamy relations based on concurrence and concurrence of assistance for any dimensional $m_1\otimes m_2\otimes...\otimes m_{N}$ quantum states are derived, which give rise to the restrictions on the entanglement distributions among the subsystems. Besides, we give the lower bound of concurrence for four-partite mixed states. The approach can be readily generalized to arbitrary multipartite systems.