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Entropic uncertainty relation for pointer-based simultaneous measurements of conjugate observables (1301.6005v1)
Published 25 Jan 2013 in quant-ph
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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