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We present graphs of information versus disturbance for general quantummeasurements of completely unknown states. Each piece of information anddisturbance is quantified by two measures: (i) the Shannon entropy andestimation fidelity for the information and (ii) the operation fidelity andphysical reversibility for the disturbance. These measures are calculated for asingle outcome and are plotted on four types of information--disturbance planesto show their allowed regions. In addition, we discuss the graphs of thesemetrics averaged over all possible outcomes and the optimal measurements whensaturating the upper bounds on the information for a given disturbance. Theresults considerably broaden the perspective of trade-offs between informationand disturbances in quantum measurements.

Allowed region and optimal measurement for information versus disturbance in quantum measurements