4 citations · 4 across the 5 of their papers we have counts for
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The Differential Structure of Generators of KMS-Symmetric Quantum Markov Semigroups
Matthijs Vernooij, Melchior Wirth
A KMS-symmetric quantum Markov semigroup is completely determined by the quadratic form in induces on the GNS Hilbert space. The quadratic forms that arise in this way are called q…
Quantum expanders and property (T) discrete quantum groups
Michael Brannan, Eric Culf, Matthijs Vernooij
Families of expander graphs were first constructed by Margulis from discrete groups with property (T). Within the framework of quantum information theory, several authors have gene…
Derivations and KMS-Symmetric Quantum Markov Semigroups
Matthijs Vernooij, Melchior Wirth
We prove that the generator of the implementation of a KMS-symmetric quantum Markov semigroup can be expressed as the square of a derivation with values in a Hilbert bimodule…
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups
Matthijs Vernooij
Cipriani and Sauvageot have shown that for any -generator of a tracially symmetric quantum Markov semigroup on a C*-algebra there exists a densely defi…