Improved bounds on entropic uncertainty relations

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Show simple item record Vicente Majua, Julio Íñigo de Sánchez Ruiz, Jorge 2010-01-22T08:55:39Z 2010-01-22T08:55:39Z 2008-04
dc.identifier.bibliographicCitation Physical Review A 77, 042110 (2008)
dc.identifier.issn 1050-2947 (Print)
dc.identifier.issn 1094-1622 (Online)
dc.description 5 pages, 1 figure.-- PACS nrs.: 03.65.-w; 03.65.Ta; 03.67.−a.-- ArXiv pre-print available at:
dc.description.abstract 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.
dc.description.sponsorship We acknowledge support by Dirección General de Investigación (Ministerio de Educación y Ciencia) under grant No. MTM2006-13000-C03-02 and by Universidad Carlos III de Madrid and Comunidad Autónoma de Madrid (project No. CCG06-UC3M/ESP-0690). J. S.-R. was also supported by the DGI (MEC) grant FIS2005-00973 and the Junta de Andalucía research group FQM-0207.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.rights © American Physical Society
dc.subject.other [PACS] Quantum mechanics
dc.subject.other [PACS] Foundations of quantum mechanics; measurement theory
dc.subject.other [PACS] Quantum information
dc.title Improved bounds on entropic uncertainty relations
dc.type article PeerReviewed
dc.description.status Publicado
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1103/PhysRevA.77.042110
dc.rights.accessRights openAccess
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