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We identify a fundamental difference between classical and quantum dynamics in the linear response regime by showing that the latter is in general contextual.
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Operational here refers to statements that can be in principle verified from the conditional probabilities of observing certain outcomes for given input measurements, without relying on a detailed model of the inner workings of the devices at hand. The terminology refers to the “black-box” approach successfully applied in quantum foundations Spekkens 2005 , device-independent quantum cryptography and self-testing Šupić and Bowles 2020
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Another property that is typically required is locality, but since here we are not dealing with spacelike separated systems such assumption is inconsequential
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