3 papers
math-ph2026
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…
math-ph2025
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…
math.OA2025
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…