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arXiv · 1301.6005

Entropic uncertainty relation for pointer-based simultaneous measurements of conjugate observables

Raoul Heese·Matthias Freyberger
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Abstract

We present a family of entropic uncertainty relations for pointer-based simultaneous measurements of conjugate observables. The lower bounds of these relations explicitly incorporate the influence of the measurement apparatus. We achieve this by using a mathematical theorem which states that the information entropy of convoluted probability distributions is bound from below. As a consequence of these results we can straightforwardly show that appropriately squeezed states are minimal entropy states for simultaneous measurements.

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Raoul Heese, Matthias Freyberger. 2013-01-25. Entropic uncertainty relation for pointer-based simultaneous measurements of conjugate observables. https://doi.org/10.1103/physreva.87.012123

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