Geometric measure of entanglement of multipartite mixed states [article]

Shenglong Hu, Liqun Qi, Yisheng Song, Guofeng Zhang
2012 arXiv   pre-print
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.
arXiv:1204.4317v1 fatcat:xaabz5qhpbbilj6bwv4yue2kqe