arXiv:1301.6005 [quant-ph]AbstractReferencesReviewsResources
Entropic uncertainty relation for pointer-based simultaneous measurements of conjugate observables
Raoul Heese, Matthias Freyberger
Published 2013-01-25Version 1
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.
Journal: Phys. Rev. A 87, 012123 (2013)
Categories: quant-ph
Keywords: entropic uncertainty relation, pointer-based simultaneous measurements, conjugate observables, minimal entropy states, measurement apparatus
Tags: journal article
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