45 citations · 184 across the 24 of their papers we have counts for
29 papers
Quantum no-signalling bicorrelations
Michael Brannan, Samuel J. Harris, Ivan G. Todorov +1
We introduce classical and quantum no-signalling bicorrelations and characterise the different types thereof in terms of states on operator system tensor products, exhibiting conne…
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…
Crossed Product Equivalence of Quantum Automorphism Groups
Michael Brannan, Floris Elzinga, Samuel J. Harris +1
We compare the algebras of the quantum automorphism group of finite-dimensional C-algebra , which includes the quantum permutation group , where . We s…
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…
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…
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…