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.

arXiv commentfinal version, 5 pages, one figure

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• Multiqubit symmetric states with high geometric entanglement
• Benchmarking neural networks for quantum computation
• Entanglement and Discord of superposition of Greenberger-Horne-Zeilinger states
• Classification of Entanglement in Symmetric States
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