Stronger Monogamy Relations of Fidelity Based Entanglement Measures in Multiqubit Systems

Abstract

Monogamy of entanglement is the fundamental property and inherent nature of quantum systems. We study the monogamy properties of two fidelity based entanglement measures, the Bures measure of entanglement and the geometric measure of entanglement. Stronger monogamy relations are presented for the \(\alpha \)th (\(\alpha \ge 2\)) power and the \(\beta \)th (\(0\le \beta \le \eta , \eta \ge 1\)) power of these two entanglement measures. Moreover, for the case of the \(\gamma \)th (\(\gamma <0\)) power, we give the corresponding upper bounds for the two entanglement measures. Detailed examples are provided to illustrate that our newly established monogamy relations are stronger than the previous ones.