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

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.

Authors:
 [1]
  1. Departamento de Optica, Facultad de Ciencias Fisicas, Universidad Complutense, E-28040 Madrid (Spain)
Publication Date:
OSTI Identifier:
22072220
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; FLUCTUATIONS; UNCERTAINTY PRINCIPLE

Citation Formats

Luis, Alfredo. Effect of fluctuation measures on the uncertainty relations between two observables: Different measures lead to opposite conclusions. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.034101.
Luis, Alfredo. Effect of fluctuation measures on the uncertainty relations between two observables: Different measures lead to opposite conclusions. United States. doi:10.1103/PHYSREVA.84.034101.
Luis, Alfredo. Thu . "Effect of fluctuation measures on the uncertainty relations between two observables: Different measures lead to opposite conclusions". United States. doi:10.1103/PHYSREVA.84.034101.
@article{osti_22072220,
title = {Effect of fluctuation measures on the uncertainty relations between two observables: Different measures lead to opposite conclusions},
author = {Luis, Alfredo},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.84.034101},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}