Conjectured Strong Complementary Information Tradeoff

Joseph M. Renes and Jean-Christian Boileau
Phys. Rev. Lett. 103, 020402 – Published 9 July 2009

Abstract

We conjecture a new entropic uncertainty principle governing the entropy of complementary observations made on a system given side information in the form of quantum states, generalizing the entropic uncertainty relation of Maassen and Uffink [Phys. Rev. Lett. 60, 1103 (1988)]. We prove a special case for certain conjugate observables by adapting a similar result found by Christandl and Winter pertaining to quantum channels [IEEE Trans. Inf. Theory 51, 3159 (2005)], and discuss possible applications of this result to the decoupling of quantum systems and for security analysis in quantum cryptography.

  • Received 1 July 2008

DOI:https://doi.org/10.1103/PhysRevLett.103.020402

©2009 American Physical Society

Authors & Affiliations

Joseph M. Renes1 and Jean-Christian Boileau2

  • 1Institut für Angewandte Physik, Technische Universität Darmstadt, Hochschulstrasse 4a, 64289 Darmstadt, Germany
  • 2Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Ontario, M5S 1A7 Canada

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Issue

Vol. 103, Iss. 2 — 10 July 2009

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