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MiS Preprint
104/2019
Unique Information and Secret Key Decompositions
Johannes Rauh, Pradeep Kumar Banerjee, Eckehard Olbrich and Jürgen Jost
The \emph{unique information} ($UI$) is an information measure that quantifies a deviation from the Blackwell order. We have recently shown that this quantity is an upper bound on the \emph{one-way secret key rate}. In this paper, we prove a triangle inequality for the $UI$, which implies that the $UI$ is never greater than one of the best known upper bounds on the \emph{two-way secret key rate}. We conjecture that the $UI$ lower bounds the two-way rate and discuss implications of the conjecture.
