General polygamy inequality of multi-party quantum entanglement

TL;DR

This paper establishes a universal polygamy inequality for multi-party quantum entanglement across arbitrary dimensions, linking it with monogamy through the entropy of entanglement as a key measure.

Contribution

It introduces a general polygamy inequality for multi-party entanglement using entanglement of assistance, applicable to arbitrary dimensional systems.

Findings

Derived a universal polygamy inequality for multi-party entanglement.

Connected the entropy of entanglement with both monogamy and polygamy.

Showed the entropy of entanglement as a universal measure bounding entanglement sharing.

Abstract

Using entanglement of assistance, we establish a general polygamy inequality of multi-party entanglement in arbitrary dimensional quantum systems. For multi-party closed quantum systems, we relate our result with the monogamy of entanglement to show that the entropy of entanglement is an universal entanglement measure that bounds both monogamy and polygamy of multi-party quantum entanglement.