Experimentally implementable criteria revealing substructures of genuine multipartite entanglement

Abstract

We present a general framework that reveals substructures of genuine multipartite entanglement. Via simple inequalities it is possible to discriminate different sets of multipartite qubit states. These inequalities are beneficial regarding experimental examinations as only local measurements are required. Furthermore, the number of observables scales favorably with system size. In exemplary cases we demonstrate the noise resistance and discuss implementations.

14 pages, 4 figures

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• Composite parameterization and Haar measure for all unitary and special unitary groups
• Persistency of entanglement and nonlocality in multipartite quantum systems
• Identification of three-qubit entanglement
• Lorentz invariance of entanglement classes in multipartite systems
• Parameterized multipartite entanglement measures
• Nonlocality and Entanglement for Symmetric States
• Examining the dimensionality of genuine multipartite entanglement
• Entanglement detection on an NMR quantum information processor using random local measurements
• Hierarchy of multipartite nonlocality in the nonsignaling scenario
• Limits to multipartite entanglement generation with bosons and fermions
• A Computable Criterion for Partial Entanglement in Continuous Variable Quantum Systems
• Experimental Detection of Non-local Correlations using a Local Measurement-Based Hierarchy on an NMR Quantum Processor
• Quantifying multipartite quantum states by ($k+1$)-partite entanglement measures
• Entanglement hierarchies in multipartite scenarios
• Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor