IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Entropic uncertainty relations for qubits
Autor/es:
BOSYK, GUSTAVO MARTÍN; PORTESI, MARIELA; ZOZOR, STEEVE
Lugar:
Paraty
Reunión:
Workshop; IV Quantum Information, School and Workshop; 2013
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 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, which is the commonly method used in related literature. In addition, we present an analytical expression for the tight bound inside the square [0 ; 1]^2 in the 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 and suboptimal bound for any couple of indices. In all cases, we provide the minimizing states.
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