Conjectured Strong Complementary Information Tradeoff
Quantum Physics
2009-07-10 v2
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.
Cite
@article{arxiv.0806.3984,
title = {Conjectured Strong Complementary Information Tradeoff},
author = {Joseph M. Renes and Jean-Christian Boileau},
journal= {arXiv preprint arXiv:0806.3984},
year = {2009}
}
Comments
4 pages