Local trade-off between information and disturbance in quantum measurements

Abstract: This study confirms a local trade-off between information and disturbance in quantum measurements. It is represented by the correlation between the changes in these two quantities when the measurement is slightly modified. The correlation indicates that when the measurement is modified to increase the obtained information, the disturbance also increases in most cases. However, the information can be increased while decreasing the disturbance because the correlation is not necessarily perfect. For measurements having imperfect correlations, this paper discusses a general scheme that raises the amount of information while decreasing the disturbance.