Extreme violation of local realism in quantum hypergraph states

Abstract

Hypergraph states form a family of multiparticle quantum states that generalizes the well-known concept of Greenberger-Horne-Zeilinger states, cluster states, and more broadly graph states. We study the nonlocal properties of quantum hypergraph states. We demonstrate that the correlations in hypergraph states can be used to derive various types of nonlocality proofs, including Hardy-type arguments and Bell inequalities for genuine multiparticle nonlocality. Moreover, we show that hypergraph states allow for an exponentially increasing violation of local realism which is robust against loss of particles. Our results suggest that certain classes of hypergraph states are novel resources for quantum metrology and measurement-based quantum computation.

31 pages, 1 figure, v3: final version

References in corpus (10)

• Entanglement detection
• Aspects of generic entanglement
• Bell Inequalities for Graph States
• Entanglement and nonclassical properties of hypergraph states
• Encoding Hypergraphs into Quantum States
• Non-adaptive Measurement-based Quantum Computation and Multi-party Bell Inequalities
• Local unitary symmetries of hypergraph states
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• Locally inequivalent four qubit hypergraph states
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• Multipartite entanglement detection for hypergraph states
• Increased success probability in Hardy's nonlocality: Theory and demonstration
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• The Evolution of Hyperedge Cardinalities and Bose-Einstein Condensation in Hypernetworks
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• Scalable Bell inequalities for graph states of arbitrary prime local dimension and self-testing
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• Sheaf-Theoretic Methods in Quantum Mechanics and Quantum Information Theory
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• Experimental implementation of Hardy-like quantum pigeonhole paradoxes
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• Multipartite entanglement in qudit hypergraph states
• Randomized hypergraph states and their entanglement properties
• Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits
• Reference-frame-independent quantum metrology
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