Improved bounds in entropic uncertainty relations

Details Improved bounds in entropic uncertainty relations Improved bounds in entropic uncertainty relations

2007-09-10

arxiv.org/abs/0709.1438v1

Phys. Rev. A 77, 042110 (2008)

Physics

Quantum Physics

11 pages, 1 Postscript figure

Scientific paper

10.1103/PhysRevA.77.042110

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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