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arXiv · 0709.1438

Improved bounds in entropic uncertainty relations

Julio I. de Vicente·Jorge Sánchez-Ruiz
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Abstract

Entropic uncertainty relations place nontrivial lower bounds to the sum of Shannon information entropies for noncommuting observables. Here we obtain a novel lower bound on the entropy sum for general pairs of observables in finite-dimensional Hilbert space, which improves on the best bound known to date [Maassen and Uffink, Phys. Rev. Lett. 60, 1103 (1988)] for a wide class of observables. This result follows from another formulation of the uncertainty principle, the Landau-Pollak inequality, whose relationship to the Maassen-Uffink entropic uncertainty relation is discussed.

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Julio I. de Vicente, Jorge Sánchez-Ruiz. 2007-09-10. Improved bounds in entropic uncertainty relations. https://doi.org/10.1103/physreva.77.042110

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