Uncertainty Trade-Off and Disturbance Trade-Off for Quantum Measurements

An important non-classical feature of quantum measurements is the celebrated uncertainty trade-off, namely that the uncertainties in the outcomes of measurements performed on distinct yet identically prepared ensembles of systems cannot all be made arbitrarily small. Recently, we have shown that quantum measurements also exhibit another non-classical feature of disturbance trade-off namely, that the disturbances associated with measurements performed on distinct yet identically prepared ensembles of systems in a pure state cannot all be made arbitrarily small. In this article, we review the known results on uncertainty trade-off and disturbance trade-off for projective and non-projective measurements.