3 citations · 6 across the 5 of their papers we have counts for
9 papers · 1 filter
Quantum edge correspondences and quantum Cuntz-Krieger algebras
Michael Brannan, Mitch Hamidi, Lara Ismert +2
Given a quantum graph , we define a C*-correspondence over the noncommutative vertex C*-algebra , called the quantum edge correspondence. Fo…
Synchronicity for quantum non-local games
Michael Brannan, Samuel J. Harris, Ivan G. Todorov +1
We introduce concurrent quantum non-local games, quantum output mirror games and concurrent classical-to-quantum non-local games, as quantum versions of synchronous non-local games…
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…
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…
Property RD and hypercontractivity for orthogonal free quantum groups
Michael Brannan, Roland Vergnioux, Sang-Gyun Youn
We prove that the twisted property RD fails to hold for all non Kac type, non amenable orthogonal free quantum groups. In the Kac case we revisit property RD, proving an analogue o…
Topological generation and matrix models for quantum reflection groups
Michael Brannan, Alexandru Chirvasitu, Amaury Freslon
We establish several new topological generation results for the quantum permutation groups and the quantum reflection groups . We use these results to show that t…