Tighter monogamy relations of entanglement measures based on fidelity

TL;DR

This paper derives tighter monogamy inequalities for various entanglement measures based on fidelity, improving understanding of entanglement distribution in multi-qubit and qudit systems.

Contribution

It introduces new, tighter monogamy relations for fidelity-based entanglement measures and extends monogamy inequalities to qudit systems via state projection.

Findings

Tighter monogamy inequalities for Bures and geometric measures.

Monogamy inequality for concurrence in qudit systems.

Extension of monogamy relations to multi-qubit and qudit systems.

Abstract

We study the Bures measure of entanglement and the geometric measure of entanglement as special cases of entanglement measures based on fidelity, and find their tighter monogamy inequalities over tri-qubit systems as well as multi-qubit systems. Furthermore, we derive the monogamy inequality of concurrence for qudit quantum systems by projecting higher-dimensional states to qubit substates.