Contradictory entropic joint uncertainty relations for complementary observables in two-level systems

2013/06/21 by Alfredo Luis, Luis, Alfredo
Decision Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Probabilistic and Robust Engineering Design #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.48550/arxiv.1306.5211

8 pages, 8 figures

arxiv created 2013/06/21 · arxiv updated 2013/06/24

Abstract

We show that different entropic measures of fluctuations lead to contradictory uncertainty relations for two complementary observables. We apply Tsallis and Rényi entropies to the joint distribution emerging from a noisy simultaneous measurement of both observables as well as to the product of their individual statistics, either intrinsic or of operational origin.

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