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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.

Keywords

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

R2 v1 2026-06-21T10:54:00.968Z