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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…
math.OA2024
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…