Generalized entropic uncertainty relations

Hans Maassen and J. B. M. Uffink
Phys. Rev. Lett. 60, 1103 – Published 21 March 1988
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Abstract

A new class of uncertainty relations is derived for pairs of observables in a finite-dimensional Hilbert space which do not have any common eigenvector. This class contains an ‘‘entropic’’ uncertainty relation which improves a previous result of Deutsch and confirms a recent conjecture by Kraus. Some comments are made on the extension of these relations to the case where the Hilbert space is infinite dimensional.

  • Received 18 November 1987

DOI:https://doi.org/10.1103/PhysRevLett.60.1103

©1988 American Physical Society

Authors & Affiliations

Hans Maassen

  • Institute for Theoretical Physics, University of Nijmegen, 6525 ED Nijmegen, The Netherlands

J. B. M. Uffink

  • Institute for Theoretical Physics, University of Amsterdam, 1018 XE Amsterdam, The Netherlands

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Issue

Vol. 60, Iss. 12 — 21 March 1988

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