3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Vertex-transitive quantum graphs
Mac Hayes, Trevor Jess, Andre Kornell +1
We define a quantum graph to be vertex-transitive if the join of its automorphism group is the maximum quantum relation on its quantum vertex set, in direct analogy with the classi…
A category of quantum posets
Andre Kornell, Bert Lindenhovius, Michael Mislove
We investigate a category of quantum posets that generalizes the category of posets and monotone functions. Up to equivalence, its objects are hereditarily atomic von Neumann algeb…
The quantum Ramsey numbers
Andrew Allen, Andre Kornell
Operator systems of matrices can be viewed as quantum analogues of finite graphs. This analogy suggests many natural combinatorial questions in linear algebra. We determine the qua…
Characterizations of homomorphisms among unital completely positive maps
Andre Kornell
We prove that a unital completely positive map between finite-dimensional C*-algebras is a homomorphism if and only if it is completely entropy-nonincreasing, where the relevant no…