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Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions

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Luis Aina, Alfredo (2011) Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions. Physical review A, 84 (3). 034101/1-034101/4. ISSN 1050-2947

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Official URL: http://dx.doi.org/10.1103/PhysRevA.84.034101


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http://journals.aps.org/Publisher


Abstract

We show within a very simple framework that different measures of fluctuations lead to uncertainty relations resulting in contradictory conclusions. More specifically we focus on Tsallis and Renyi entropic uncertainty relations and we get that the minimum joint uncertainty states for some fluctuation measures are the maximum joint uncertainty states of other fluctuation measures, and vice versa.


Item Type:Article
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©2011 American Physical Society.
A.L. acknowledges support from Project No. FIS2008-01267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion, and from Project QUITEMAD S2009-ESP-1594 of the Consejeria de Educacion de la Comunidad de Madrid.

Uncontrolled Keywords:Entropic uncertainty; Quantum measurements; Phase measurement; Complementary observables; Optical-phase; Information; Mechanics; Principle; Standard; Angle
Subjects:Sciences > Physics > Optics
ID Code:30430
Deposited On:27 May 2015 18:41
Last Modified:27 May 2015 18:41

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