Monogamy of Entanglement Measures Based on Fidelity in Multiqubit Systems

TL;DR

This paper proves that certain fidelity-based entanglement measures satisfy monogamy inequalities in multiqubit mixed states for all powers greater than or equal to one, advancing understanding of entanglement distribution.

Contribution

It establishes the monogamy property of Bures and geometric measures of entanglement based on fidelity for multiqubit mixed states, generalizing previous results.

Findings

Fidelity-based entanglement measures obey monogamy inequalities for α ≥ 1.

The results apply to multiqubit mixed states.

Provides a unified framework for entanglement monogamy relations.

Abstract

We show exactly that the $\alpha$th power of Bures measure of entanglement and geometric measure of entanglement, as special case of entanglement measures based on fidelity, obey a class of general monogamy inequalities in an arbitrary multiqubit mixed state for $\alpha\geq1$.