Probing the limits of correlations in an indivisible quantum system

There is little experimental evidence whether the correlations between measurement outcomes in nature can reach the bounds imposed by Quantum Mechanics (QM). Here, 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 QM. Our results violate the classical bound for this experiment by up to 25 standard deviations, while being in agreement with the QM prediction. 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. This allows us to observe the emergence of classical behavior from a quantum system without invoking decoherence with the environment. Our findings extend recent works on chained Bell inequalities to the domain of single quantum systems and indicate that the limits of correlations in our system are indeed consistent with QM and inconsistent with classical physics.