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It is often supposed that a quantum system is not disturbed without statechange. In a recent debate, this assumption is used to claim that theoperator-based disturbance measure, a broadly used disturbance measure, has anunphysical property. Here, we show that a quantum system possibly incurs anoperationally detectable disturbance without state change to rebut the claim.Moreover, we establish the reliability, formulated as soundness and locality,of the operator-based disturbance measure, which, we show, quantifies thedisturbance on an observable that manifests in the time-like correlation evenin the case where its probability distribution does not change.

Quantum Disturbance without State Change: Soundness and Locality of Disturbance Measures