Robust protocols exist for hypothesis testing, compression, and channel coding that attain optimal rates for arbitrary almost i.i.d. sources, via a new club distance and almost i.i.d. process notion.
Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems.Journal of Statistical Physics, 178(2):319–378, 2020
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Quantum Shannon theory made robust: a tale of three protocols for almost i.i.d. sources
Robust protocols exist for hypothesis testing, compression, and channel coding that attain optimal rates for arbitrary almost i.i.d. sources, via a new club distance and almost i.i.d. process notion.