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

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

2010-06-12

arxiv.org/abs/1006.2432v3

Phys. Rev. A 82, 022309 (2010)

Physics

Quantum Physics

published version

Scientific paper

10.1103/PhysRevA.82.022309

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.

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