Collision entropy and optimal uncertainty

We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables in the two-dimensional case, in terms of collision entropies. We derive the optimal lower bound for this entropic uncertainty relation, which results in an analytic function of the overlap of the correspondin...

Descripción completa

Detalles Bibliográficos
Autores: Bosyk, Gustavo Martín, Portesi, Mariela Adelina, Plastino, Ángel Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/125997
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125997
Access Level:acceso abierto
Palabra clave:Física
Ciencias Exactas
quantum uncertainty
collision entropies
Descripción
Sumario:We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables in the two-dimensional case, in terms of collision entropies. We derive the optimal lower bound for this entropic uncertainty relation, which results in an analytic function of the overlap of the corresponding eigenbases. Besides, we obtain the minimum uncertainty states. We compare our relation with other formulations of the uncertainty principle.