Entropy power inequalities for qudits

@article{Audenaert2015EntropyPI,
  title={Entropy power inequalities for qudits},
  author={Koenraad Audenaert and Nilanjana Datta and Maris Ozols},
  journal={ArXiv},
  year={2015},
  volume={abs/1503.04213}
}
  • Koenraad Audenaert, Nilanjana Datta, Maris Ozols
  • Published 2015
  • Physics, Computer Science, Mathematics
  • ArXiv
  • Shannon’s entropy power inequality (EPI) can be viewed as a statement of concavity of an entropic function of a continuous random variable under a scaled addition rule: f(a X+1−a Y)≥af(X)+(1−a)f(Y)∀ a∈[0,1]. Here, X and Y are continuous random variables and the function f is either the differential entropy or the entropy power. Konig and Smith [IEEE Trans. Inf. Theory 60(3), 1536–1548 (2014)] and De Palma, Mari, and Giovannetti [Nat. Photonics 8(12), 958–964 (2014)] obtained quantum analogues… CONTINUE READING

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