Testing the Structure of Multipartite Entanglement with Bell Inequalities

Abstract

We show that the rich structure of multipartite entanglement can be tested following a device-independent approach. Specifically we present Bell inequalities for distinguishing between different types of multipartite entanglement, without placing any assumptions on the measurement devices used in the protocol, in contrast with usual entanglement witnesses. We first address the case of three qubits and present Bell inequalities that can be violated by W states but not by GHZ states, and vice versa. Next, we devise 'sub-correlation Bell inequalities' for any number of parties, which can provably not be violated by a broad class of multipartite entangled states (generalizations of GHZ states), but for which violations can be obtained for W states. Our results give insight into the nonlocality of W states. The simplicity and robustness of our tests make them appealing for experiments.

7 pages

References in corpus (10)

• Entanglement detection
• 14-qubit entanglement: creation and coherence
• Taming multiparticle entanglement
• Testing the Hilbert space dimension
• Bell Inequalities for Graph States
• Useful Multiparticle Entanglement and Sub-Shot-Noise Sensitivity in Experimental Phase Estimation
• Non-adaptive Measurement-based Quantum Computation and Multi-party Bell Inequalities
• Discriminating multi-partite entangled states
• Hyperentangled mixed phased Dicke states: optical design and detection
• Experimentally implementable criteria revealing substructures of genuine multipartite entanglement

Cited by in corpus (51)

• Bell nonlocality
• Detecting non-locality in multipartite quantum systems with two-body correlation functions
• Device-independent entanglement quantification and related applications
• Robust Self Testing of Unknown Quantum Systems into Any Entangled Two-Qubit States
• Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
• Robust self testing of the 3-qubit $W$ state
• Device-independent tomography of multipartite quantum states
• Nonlocality in many-body quantum systems detected with two-body correlators
• Nonlocality of Symmetric States
• Probing quantum correlations in many-body systems: a review of scalable methods
• Persistency of entanglement and nonlocality in multipartite quantum systems
• Decoherence Effects on the Non-locality of Symmetric States
• Identification of three-qubit entanglement
• Shareability of Quantum Steering and its Relation with Entanglement
• Multi-partite quantum nonlocality and Bell-type inequalities in an infinite-order quantum phase transition of the one-dimensional spin-1/2 XXZ chain
• Nonlocality of $W$ and Dicke states subject to losses
• Bell inequalities for three systems and arbitrarily many measurement outcomes
• Protocol using kicked Ising dynamics for generating states with maximal multipartite entanglement
• Nonlocality and Entanglement for Symmetric States
• Exploring Bell inequalities for the device-independent certification of multipartite entanglement depth
• Fine-Structure Classification of Multiqubit Entanglement by Algebraic Geometry
• Efficient measurement-device-independent detection of multipartite entanglement structure
• Closing the detection loophole in tripartite Bell tests using the W state
• Multipartite Nonlocality as a Resource and Quantum Correlations Having Indefinite Causal Order
• Incompatible local hidden-variable models of quantum correlations
• True Multipartite Entanglement Hardy Test
• Energy efficient mining on a quantum-enabled blockchain using light
• Theoretical study of the Compton effect with correlated three-photon emission: From the differential cross section to high-energy triple-photon entanglement
• Experimental determination of multipartite entanglement with incomplete information
• Bounding the persistency of the nonlocality of W states
• A generic framework for genuine multipartite entanglement detection
• Certifying nonlocality from separable marginals
• Genuine multipartite entanglement verification with convolutional neural networks
• Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity
• Partial Transpose Moments, Principal Minors and Entanglement Detection
• Genuine Multipartite Entanglement induced by a Thermal Acoustic Reservoir
• Recycled detection of genuine multiparty entanglement of unlimitedly stretched array of parties and arbitrarily long series of sequential observers
• Towards minimal self-testing of qubit states and measurements in prepare-and-measure scenarios
• A self-guide method to search maximal Bell violation for unknown quantum states
• Undetectable Werner states using linear Bell inequalities
• Testing the Structure of Multipartite Entanglement with Hardy's Nonlocality
• Classifying Entanglement by Algebraic Geometry
• Quantum advantage in temporally flat measurement-based quantum computation
• Full Bell locality of a noisy state for $N\ge 3$ nonlocally entangled qudits
• Guaranteed emergence of genuine entanglement in 3-qubit evolving systems
• Bound entanglement and distillability of multipartite quantum systems
• Testing Genuine Multipartite Nonlocality via an Inflated Network with Multi-copy Entangled States
• Device-independent dimension test in a multiparty Bell experiment
• Characterization of four-qubit states via Bell inequalities
• Multipartite entanglement vs nonlocality for two families of $N$-qubit states
• Self-testing of symmetric three-qubit states