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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…