Entropic measures of joint uncertainty: Effects of lack of majorization

We compute Renyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used. These results are not reproduced by a more standard du...

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Detalles Bibliográficos
Autores: Luis Aina, Alfredo, Martín Bosyk, Gustavo, Portesi, Mariela
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/24332
Acceso en línea:https://hdl.handle.net/20.500.14352/24332
Access Level:acceso abierto
Palabra clave:535
Quantum uncertainty
Renyi entropies
Majorization
Complementarity
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:We compute Renyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used. These results are not reproduced by a more standard duality relation. We show that these behaviors are consistent with the lack of majorization relation between the corresponding statistics.