title: Conjectured strong complementary information tradeoff.
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.
authors: Institut für Angewandte Physik, Technische Universität Darmstadt, Hochschulstrasse 4a, 64289 Darmstadt, Germany.
authors: Joseph M
authors: JM
authors: Renes
authors: Jean-Christian
authors: JC
authors: Boileau