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arXiv · 0806.3984

Conjectured Strong Complementary Information Tradeoff

Joseph M. Renes·Jean-Christian Boileau
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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.

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Joseph M. Renes, Jean-Christian Boileau. 2009-07-10. Conjectured Strong Complementary Information Tradeoff. https://doi.org/10.1103/physrevlett.103.020402

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