The structure of multidimensional entanglement in multipartite systems

Abstract

We explore the structure of multipartite quantum systems which are entangled in multiple degrees of freedom. We find necessary and sufficient conditions for the characterization of tripartite systems and necessary conditions for any number number of parties. Furthermore we develop a framework of multi-level witnesses for efficient discrimination and quantification of multidimensional entanglement that is applicable for an arbitrary number of systems and dimensions.

5 pages, 2 figures

References in corpus (5)

• Entanglement detection
• Measure of genuine multipartite entanglement with computable lower bounds
• Estimating entanglement measures in experiments
• Determining lower bounds on a measure of multipartite entanglement from few local observables
• Verifying Genuine High-Order Entanglement

Cited by in corpus (6)

• Full multipartite entanglement of frequency comb Gaussian states
• Evaluation of convex roof entanglement measures
• Experimental access to higher-dimensional entangled quantum systems using integrated optics
• The thermodynamics of creating correlations: Limitations and optimal protocols
• Characterizing multipartite entanglement without shared reference frames
• Structural Quantification of Entanglement