Phys. Rev. A 77, 042110 (2008) [5 pages]Improved bounds on entropic uncertainty relationsReceived 25 September 2007; published 16 April 2008 Entropic uncertainty relations place nontrivial lower bounds to the sum of Shannon information entropies for noncommuting observables. Here we obtain a 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 [ H. Maassen and J. B. M. 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.042110
DOI:
10.1103/PhysRevA.77.042110
PACS:
03.65.Ta, 03.67.−a
See AlsoComment: G. M. Bosyk, M. Portesi, A. Plastino, and S. Zozor, Comment on “Improved bounds on entropic uncertainty relations”, Phys. Rev. A 84, 056101 (2011). |
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