Incompatible local hidden-variable models of quantum correlations

Abstract

We show a quantum state with explicit local hidden-variable models for correlations between any fixed number of subsystems which cannot be extended to a model simultaneously describing correlations between different numbers of subsystems.

3 pages

References in corpus (6)

• Experimental entanglement of a six-photon symmetric Dicke state
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Bell Inequalities for Graph States
• Quantum Correlation Without Classical Correlations
• Testing the Structure of Multipartite Entanglement with Bell Inequalities
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Cited by in corpus (11)

• Genuine Multipartite Entanglement without Multipartite Correlations
• Analysing quantum systems with randomised measurements
• Characterizing quantum states via sector lengths
• Genuine $N$-partite entanglement without $N$-partite correlation functions
• Higher dimensional entanglement without correlations
• Certifying nonlocality from separable marginals
• Genuinely entangled symmetric states with no $N$-partite correlations
• Valid and efficient entanglement verification with finite copies of a quantum state
• Identifying quantumness via addition-then-subtraction operation
• Geometrical Bell inequalities for arbitrarily many qudits with different outcome strategies
• Cooperation and dependencies in multipartite systems