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arXiv · 1204.4317

Geometric measure of entanglement of multipartite mixed states

Shenglong Hu·Liqun Qi·Yisheng Song·Guofeng Zhang
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Abstract

The geometric measure of entanglement of a pure state, defined by its distance to the set of pure separable states, is extended to multipartite mixed states. We characterize the nearest disentangled mixed state to a given mixed state with respect to this measure by a system of equations. The entanglement eigenvalue for a mixed state is introduced. For a given mixed state, we show that its nearest disentangled mixed state is associated with its entanglement eigenvalue.

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Shenglong Hu, Liqun Qi, Yisheng Song, Guofeng Zhang. 2012-04-19. Geometric measure of entanglement of multipartite mixed states. https://arxiv.org/abs/1204.4317

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