Device-independent detection of genuine multipartite entanglement for all pure states

Abstract

We show that genuine multipartite entanglement of all multipartite pure states in arbitrary finite dimension can be detected in a device-independent way by employing bipartite Bell inequalities on states that are deterministically generated from the initial state via local operations. This leads to an efficient scheme for large classes of multipartite states that are relevant in quantum computation or condensed-matter physics, including cluster states and the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model. For cluster states the detection of genuine multipartite entanglement involves only measurements on a constant number of systems with an overhead that scales linear with the system size, while for the AKLT model the overhead is polynomial. In all cases our approach shows robustness against experimental imperfections.

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Cited by in corpus (19)

• Optimization of device-independent witnesses of entanglement depth from two-body correlators
• Exploring Bell inequalities for the device-independent certification of multipartite entanglement depth
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits
• Quantum correlations on the no-signaling boundary: self-testing and more
• Custom Bell inequalities from formal sums of squares
• Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements
• Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
• Verifying Hierarchic Multipartite and Network Nonlocalities with a Unified Method
• Analytic Semi-device-independent Entanglement Quantification for Bipartite Quantum States
• Genuine entanglement detection via projection map in multipartite systems
• "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
• Detecting genuine multipartite entanglement using moments of positive maps
• All genuinely entangled stabilizer subspaces are multipartite fully nonlocal
• Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty Relation
• Quantifying Multipartite Quantum Entanglement in a Semi-Device-Independent Manner
• Testing the Structure of Multipartite Entanglement with Hardy's Nonlocality
• Expanding bipartite Bell inequalities for maximum multi-partite randomness
• Robust Multipartite Entanglement Without Entanglement Breaking
• Testing Genuine Multipartite Nonlocality via an Inflated Network with Multi-copy Entangled States