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arXiv · 0911.1493

Geometric measure of entanglement for pure multipartite states

Lin Chen·Aimin Xu·Huangjun Zhu
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Abstract

We provide methods for computing the geometric measure of entanglement for two families of pure states with both experimental and theoretical interests: symmetric multiqubit states with non-negative amplitudes in the Dicke basis and symmetric three-qubit states. In addition, we study the geometric measure of pure three-qubit states systematically in virtue of a canonical form of their two-qubit reduced states, and derive analytical formulae for a three-parameter family of three-qubit states. Based on this result, we further show that the W state is the maximally entangled three-qubit state with respect to the geometric measure.

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Lin Chen, Aimin Xu, Huangjun Zhu. 2012-04-19. Geometric measure of entanglement for pure multipartite states. https://doi.org/10.1103/physreva.82.032301

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