paper

Derivative of the disturbance with respect to information from quantum measurements

arXiv:1806.04882 · doi:10.1007/s11128-019-2174-0

Abstract

To study the trade-off between information and disturbance, we obtain the first and second derivatives of the disturbance with respect to information for a fundamental class of quantum measurements. We focus on measurements lying on the boundaries of the physically allowed regions in four information--disturbance planes, using the derivatives to investigate the slopes and curvatures of these boundaries and hence clarify the shapes of the allowed regions.

28 pages, 5 figures

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