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

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 fluctuatio...

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Detalles Bibliográficos
Autor: Luis Aina, Alfredo
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/44598
Acceso en línea:https://hdl.handle.net/20.500.14352/44598
Access Level:acceso abierto
Palabra clave:535
Entropic uncertainty
Quantum measurements
Phase measurement
Complementary observables
Optical-phase
Information
Mechanics
Principle
Standard
Angle
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario: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.