Artículo
On a generalized entropic uncertainty relation in the case of the qubit
Fecha de publicación:
11/2013
Editorial:
IOP Publishing
Revista:
Journal of Physics A: Mathematical and Theoretical
ISSN:
1751-8113
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We revisit generalized entropic formulations of the uncertainty principle for an arbitrary pair of quantum observables in two-dimensional Hilbert space. Rényi entropy is used as an uncertainty measure associated with the distribution probabilities corresponding to the outcomes of the observables. We derive a general expression for the tight lower bound of the sum of Rényi entropies for any couple of (positive) entropic indices (alpha, beta). Thus, we have overcome the Hölder conjugacy constraint imposed on the entropic indices by Riesz-Thorin theorem. In addition, we present an analytical expression for the tight bound inside the square [0,1/2]x[0,1/2] in the alpha-beta plane, and a semi-analytical expression on the line beta=alpha. It is seen that previous results are included as particular cases. Moreover we present a semi-analytical, suboptimal bound for any couple of indices. In all cases, we provide the minimizing states.
Palabras clave:
ENTROPIC MEASURES
,
UNCERTAINTY RELATION
,
QUBIT SYSTEM
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Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
Zozor, Steeve; Bosyk, Gustavo Martin; Portesi, Mariela Adelina; On a generalized entropic uncertainty relation in the case of the qubit; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 46; 46; 11-2013; 465301-465317
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