Multipartite entanglement measure

A simple entanglement measure for multipartite pure states

A simple entanglement measure for multipartite pure states is formulated based on the partial entropy of a series of reduced density matrices. Use of the proposed new measure to distinguish disentangled, partially entangled, and maximally entangled multipartite pure states is illustrated.

Geometric Measure of Quantum Entanglement for Multipartite Mixed States

The geometric measure of quantum 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 the geometric measure by means of a system of equations. The entanglement eigenvalue for a mixed state is introduced. And we show that, for...

Title Genuine multipartite entanglement without multipartite correlations

Genuine Multipartite Entanglement without Multipartite Correlations.

Nonclassical correlations between measurement results make entanglement the essence of quantum physics and the main resource for quantum information applications. Surprisingly, there are n-particle states which do not exhibit n-partite correlations at all but still are genuinely n-partite entangled. We introduce a general construction principle for such states, implement them in a multiphoton e...

Detecting multipartite entanglement

Andrew C. Doherty, Pablo A. Parrilo, and Federico M. Spedalieri School of Physical Sciences, University of Queensland, St Lucia, Queensland 4072, Australia Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125, USA Institut für Automatik, ETH Zentrum, CH-8092 Zürich, Switzerland Quantum Computing Technologies Group, Jet Propulsion Laboratory, Pasadena...