Probing the limits of correlations in an indivisible quantum system

Abstract

We employ a trapped ion to study quantum contextual correlations in a single qutrit using the 5-observable KCBS inequality, which is arguably the most fundamental non-contextuality inequality for testing Quantum Mechanics (QM). We quantify the effect of systematics in our experiment by purposely scanning the degree of signaling between measurements, which allows us to place realistic bounds on the non-classicality of the observed correlations. Our results violate the classical bound for this experiment by up to 25 standard deviations, while being in agreement with the QM limit. In order to test the prediction of QM that the contextual fraction increases with the number of observables, we gradually increase the complexity of our measurements from 5 up to 121 observables. We find stronger-than-classical correlations in all prepared scenarios up to 101 observables, beyond which experimental imperfections blur the quantum-classical divide.

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• Contextuality and Noncontextuality Measures and Generalized Bell Inequalities for Cyclic Systems
• Experimental test of contextuality in quantum and classical systems
• Randomness expansion secured by quantum contextuality
• On Joint Distributions, Counterfactual Values, and Hidden Variables in Relation to Contextuality
• Local certification of programmable quantum devices of arbitrary high dimensionality
• Bosonic Indistinguishability-Dependent Contextuality
• A computational test of quantum contextuality, and even simpler proofs of quantumness
• Contextuality of Quantum Error-Correcting Codes
• Contextuality with disturbance and without: Neither can violate substantive requirements the other satisfies
• The quantum maxima for the basic graphs of exclusivity are not reachable in Bell scenarios
• Contextuality and dichotomizations of random variables