Duality and the geometric measure of entanglement of general multiqubit W states

Abstract

We find the nearest product states for arbitrary generalized W states of n qubits, and show that the nearest product state is essentially unique if the W state is highly entangled. It is specified by a unit vector in Euclidean n-dimensional space. We use this duality between unit vectors and highly entangled W states to find the geometric measure of entanglement of such states.

final version, 5 pages, one figure

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Cited by in corpus (5)

• Genuinely multipartite entangled states and orthogonal arrays
• Multiqubit symmetric states with high geometric entanglement
• Universal behavior of the geometric entanglement measure of many-qubit W states
• Completely mixed state is a critical point for three-qubit entanglement
• Dynamic learning of pairwise and three-way entanglement