Physics – Quantum Physics
Scientific paper
2012-04-19
Physics
Quantum Physics
12 pages
Scientific paper
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.
Hu Shenglong
Qi Liqun
Song Yisheng
Zhang Guofeng
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