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Modern quantum engineering techniques enabled successful foundational testsof quantum mechanics. Yet, the universal validity of quantum postulates is anopen question. Here we propose a new theoretical framework of Q-data tests,which recognises the established validity of quantum theory, but allows formore general -- 'post-quantum' -- scenarios in certain physical regimes. It canaccommodate a large class of models with modified quantum wave dynamics,correlations beyond entanglement or general probabilistic postulates. Wediscuss its experimental implementation suited to probe the nature of strongnuclear interactions. In contrast to the present accelerator experiments, itshifts the focus from high-luminosity beam physics to individual particlecoherent control.

Probing the limits of quantum theory with quantum information at subnuclear scales