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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…
math-ph2021★ 11 cited
A dual formula for the noncommutative transport distance
Melchior Wirth
In this article we study the noncommutative transport distance introduced by Carlen and Maas and its entropic regularization defined by Becker and Li. We prove a duality formula th…