Conjectured strong complementary information tradeoff.

@article{Renes2009ConjecturedSC,
  title={Conjectured strong complementary information tradeoff.},
  author={Joseph M. Renes and Jean-Christian Boileau},
  journal={Physical review letters},
  year={2009},
  volume={103 2},
  pages={
          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… 
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