Tighter monogamy relations for the Tsallis-q and R\'{e}nyi-$\alpha$ entanglement in multiqubit systems

TL;DR

This paper introduces tighter monogamy relations for quantum entanglement in multiqubit systems using Tsallis-q and Rényi-α measures, providing improved bounds over previous relations.

Contribution

It presents novel, tighter monogamy inequalities for multipartite entanglement based on Tsallis-q and Rényi-α entanglement measures, with demonstrated examples.

Findings

New tighter monogamy relations with improved bounds

Examples illustrating the tightness of the bounds

Enhanced understanding of entanglement distribution constraints

Abstract

Monogamy relations characterize the distributions of quantum entanglement in multipartite systems. In this work, we present some tighter monogamy relations in terms of the power of the Tsallis-q and R\'{e}nyi-$\alpha$ entanglement in multipartite systems. We show that these new monogamy relations of multipartite entanglement with tighter lower bounds than the existing ones. Furthermore, three examples are given to illustrate the tightness.