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In this work, we prove uniform continuity bounds for entropic quantities related to the sandwiched R\'enyi divergences such as the sandwiched R\'enyi conditional entropy.
Linear operators, Part 1: general theory
N. Dunford and J. T. Schwartz · 1958
Earlier work this paper cites.
c p c_{p}
C. A. McCarthy · 1967
Earlier work this paper cites.
A continuity property of the entropy density for spin lattice systems
M. Fannes · 1973
Earlier work this paper cites.
Convex trace functions and the Wigner-Yanase-Dyson conjecture
E. H. Lieb · 1973
Earlier work this paper cites.
Principles of Mathematical Analysis
W. Rudin · 1976
Earlier work this paper cites.
c ∗ c^{*} -algebraic generalization of relative entropy and entropy
V. P. Belavkin and P. Staszewski · 1982
Earlier work this paper cites.
Matrix Analysis
R. Bhatia · 1997
Earlier work this paper cites.
Continuity of relative entropy of entanglement
M. J. Donald and M. Horodecki · 1999
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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