Geometric measure of entanglement of multipartite mixed states

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.

12 pages

References in corpus (3)

• The geometric measure of entanglement for symmetric states
• The geometric measure of entanglement of pure states with nonnegative amplitudes and the spectral theory of nonnegative tensors
• The Minimum Hartree Value for the Quantum Entanglement Problem

Cited by in corpus (1)

• Separability discrimination and decomposition of $m$-partite quantum mixed states