Monogamous property of generalized W states in three-qubit systems in terms of relative entropy of entanglement

TL;DR

This paper demonstrates that all generalized W states in three-qubit systems exhibit monogamous properties with respect to the relative entropy of entanglement, despite the difficulty in deriving its analytic formula.

Contribution

It establishes the monogamous nature of generalized W states for the relative entropy of entanglement through explicit calculations.

Findings

All generalized W states are monogamous for relative entropy of entanglement.

The study provides a method to analyze monogamy relations without needing the analytic formula.

Highlights the monogamous property in a class of three-qubit states.

Abstract

Because of the difficulty in getting the analytic formula of relative entropy of entanglement, it becomes troublesome to study the monogamy relations of relative entropy of entanglement for three-qubit pure states. However, we find that all generalized W states have the monogamous property for relative entropy of entanglement by calculating the relative entropy of entanglement for the reduced states of the generalized W states in three-qubit systems.