46 citations · 202 across the 26 of their papers we have counts for
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math.OA2020★ 1 cited
Complete Logarithmic Sobolev Inequalities via Ricci Curvature Bounded Below II
Michael Brannan, Li Gao, Marius Junge
Using a non-negative curvature condition, we prove the complete version of modified log-Sobolev inequalities for central Markov semigroups on various compact quantum groups, includ…
math.OA2020★ 1 cited
Complete Logarithmic Sobolev inequalities via Ricci curvature bounded below
Michael Brannan, Li Gao, Marius Junge
We prove that for a symmetric Markov semigroup, Ricci curvature bounded from below by a non-positive constant combined with a finite -mixing time implies the modified log…
quant-ph2020★ 16 cited
Recoverability for optimized quantum -divergences
Li Gao, Mark M. Wilde
The optimized quantum -divergences form a family of distinguishability measures that includes the quantum relative entropy and the sandwiched Rényi relative quasi-entropy as spe…