Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits

TL;DR

This paper explores monogamy relations for generalized W class states using Tsallis entropy, providing analytical formulas and tighter bounds beyond qubits, advancing understanding of quantum correlations in complex states.

Contribution

It introduces analytical formulas and generalized monogamy relations for Tsallis-$q$ entanglement in generalized W class states, including tighter polygamy bounds for specific cases.

Findings

Derived analytical formulas for Tsallis-$q$ entanglement of generalized W states.

Established monogamy relations in terms of Tsallis-$q$ entanglement.

Presented tighter polygamy relations for specific state classes.

Abstract

\indent In this article, we consider the monogamy relations for the generalized W class states. Here we first present an analytical formula on Tsallis-$q$ entanglement and Tsallis-$q$ entanglement of assistance of a reduced density matrix of the generalized W class states, then we present a monogamy relation in terms of the T$q$EE for the GW state, and we also present generalized monogamy relations in terms of T$q$EE for the GW states. At last, we present tighter polygamy relations in terms of T$q$EEoA when $q=2$ for the GWV states.