Computable constraints on entanglement-sharing of multipartite quantum states

TL;DR

This paper introduces computable constraints on how entanglement can be shared among multipartite quantum states, extending beyond bipartite and pure states, with potential applications in many-body systems.

Contribution

It provides a set of entanglement-sharing constraints based on negativity and realignment, applicable to general multipartite states, advancing entanglement quantification methods.

Findings

Derived entanglement-sharing constraints for multipartite states

Applicable to mixed and pure states in arbitrary dimensions

Potential applications in many-body quantum systems

Abstract

Negativity is regarded as an important measure of entanglement in quantum information theory. In contrast to other measures of entanglement, it is easily computable for bipartite states in arbitrary dimensions. In this paper, based on the negativity and realignment, we provide a set of entanglement-sharing constraints for multipartite states, where the entanglement is not necessarily limited to bipartite and pure states, thus aiding in the quantification of constraints for entanglement-sharing. These may find applications in studying many-body systems.