General monogamy relations of the $S^{t}$ and $T^{t}_q$-entropy entanglement measures based on dual entropy

TL;DR

This paper introduces new entanglement measures based on dual entropy and establishes general, tighter monogamy relations for multi-qubit systems, enabling better detection of multipartite entanglement.

Contribution

It proposes novel entanglement measures and derives the first general monogamy relations based on dual entropy, improving upon existing inequalities.

Findings

New entanglement measures $S^{t}$ and $T^{t}_q$ are introduced.

Derived monogamy inequalities are tighter than previous ones.

Multipartite entanglement indicators perform well even when traditional methods fail.

Abstract

Monogamy of entanglement is the fundamental property of quantum systems. By using two new entanglement measures based on dual entropy, the $S^{t}$-entropy entanglement and $T^{t}_q$-entropy entanglement measures, we present the general monogamy relations in multi-qubit quantum systems. We show that these newly derived monogamy inequalities are tighter than the existing ones. Based on these general monogamy relations, we construct the set of multipartite entanglement indicators for $N$-qubit states, which are shown to work well even for the cases that the usual concurrence-based indicators do not work. Detailed examples are presented to illustrate our results.