Testing noncontextuality inequalities that are building blocks of quantum correlations

Abstract

Measurement scenarios containing events with relations of exclusivity represented by pentagons, heptagons, nonagons, etc., or their complements are the only ones in which quantum probabilities cannot be described classically. Interestingly, quantum theory predicts that the maximum values for any of these graphs cannot be achieved in Bell inequality scenarios. With the exception of the pentagon, this prediction remained experimentally unexplored. Here we test the quantum maxima for the heptagon and the complement of the heptagon using three- and five-dimensional quantum states, respectively. In both cases, we adopt two different encodings: linear transverse momentum and orbital angular momentum of single photons. Our results exclude maximally noncontextual hidden-variable theories and are in good agreement with the maxima predicted by quantum theory.

REVTeX4, 7 pages, 2 figures, 4 experiments in 2 continents

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• Experimental test of high-dimensional quantum contextuality based on contextuality concentration
• Logical and inequality based contextuality for qudits
• Proposal for Automated Operations for Single-Photon Multipath Qudits
• Classical Limits and Contextuality in a Scenario of Multiple Observers
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