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

Physics – Quantum Physics

Scientific paper

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final version, 5 pages, one figure

Scientific paper

10.1103/PhysRevA.81.052319

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.

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