15 citations · 57 across the 22 of their papers we have counts for
28 papers
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…
Coarse rigidity in von Neumann algebras via derivations
Manish Kumar, Melchior Wirth
We propose a notion of relative coarse rigidity for -finite von Neumann algebras through modular derivations and their associated GNS-symmetric quantum Markov semigroups, extend…
The KMS and GNS Spectral Gap of Quantum Markov Semigroups
Melchior Wirth
We establish a relation between the exponential decay rates of quantum Markov semigroups with respect to different inner products. More precisely, it was conjectured by Fagnola, Po…
Triangle Inequality for a Quantum Wasserstein Divergence
Melchior Wirth
We resolve a conjecture of De Palma and Trevisan by proving the triangle inequality for a quantum 2-Wasserstein distance. The proof relies on complex analysis methods to establish…
Exponential Relative Entropy Decay Along Quantum Markov Semigroups
Melchior Wirth
We establish the equivalence between exponential decay of the relative entropy along a quantum Markov semigroup and the modified logarithmic Sobolev inequality for general von Neum…
Operator-Valued Twisted Araki-Woods Algebras
Rahul Kumar R, Melchior Wirth
We introduce operator-valued twisted Araki-Woods algebras. These are operator-valued versions of a class of second quantization algebras that includes -Gaussian and -Araki-Wo…