Conjectured Strong Complementary Information Tradeoff

Details Conjectured Strong Complementary Information Tradeoff Conjectured Strong Complementary Information Tradeoff

2008-06-24

arxiv.org/abs/0806.3984v2

Phys. Rev. Lett. 103, 020402 (2009).

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.103.020402

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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