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Continuity of quantum conditional information

arXiv:quant-ph/0312081 · doi:10.1088/0305-4470/37/5/L01

Abstract

We prove continuity of quantum conditional information $S(ρ^{12}| ρ^2)$ with respect to the uniform convergence of states and obtain a bound which is independent of the dimension of the second party. This can, e.g., be used to prove the continuity of squashed entanglement.

4 pages, 1 figure, minor changes in the title and the text