45 citations · 184 across the 24 of their papers we have counts for
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math.OA2020★ 21 cited
The quantum-to-classical graph homomorphism game
Michael Brannan, Priyanga Ganesan, Samuel J. Harris
Motivated by non-local games and quantum coloring problems, we introduce a graph homomorphism game between quantum graphs and classical graphs. This game is naturally cast as a "qu…
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…