Tighter monogamy and polygamy relations of quantum entanglement in multi-qubit systems

TL;DR

This paper derives tighter monogamy and polygamy inequalities for various quantum entanglement measures in multi-qubit systems, advancing the understanding of entanglement distribution constraints.

Contribution

It introduces improved inequalities for entanglement relations in multipartite qubit systems, surpassing previous bounds.

Findings

Derived tighter monogamy inequalities for multiple entanglement measures.

Established improved polygamy relations for certain entanglement measures.

Validated results with detailed examples.

Abstract

We investigate the monogamy relations related to the concurrence, the entanglement of formation, convex-roof extended negativity, Tsallis-q entanglement and R'enyi-{\alpha} entanglement, the polygamy relations related to the entanglement of formation, Tsallis-q entanglement and R'enyi-{\alpha} entanglement. Monogamy and polygamy inequalities are obtained for arbitrary multipartite qubit systems, which are proved to be tighter than the existing ones. Detailed examples are presented.