Universal behavior of the geometric entanglement measure of many-qubit W states

Abstract

We show that when N>>1 the geometric entanglement measure of general N-qubit W states, except maximally entangled W states, is a one-variable function and depends only on the Bloch vector with the minimal z component. Hence one can prepare a W state with the required maximal product overlap by altering the Bloch vector of a single qubit. Next we compute analytically the geometric measure of large-scale W states by describing these systems in terms of very few parameters. The final formula relates two quantities, namely the maximal product overlap and the Bloch vector, that can be easily estimated in experiments.

published version

References in corpus (10)

• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Estimating entanglement measures in experiments
• The geometric measure of entanglement for symmetric states
• Universal geometric entanglement close to quantum phase transitions
• Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices
• N-Qubit W States are Determined by their Bipartite Marginals
• Analytic Expressions for Geometric Measure of Three Qubit States
• Continuous variable entanglement of phase locked light beams
• Duality and the geometric measure of entanglement of general multiqubit W states
• Quantum coherences, K-way negativities and multipartite entanglement