6 citations · 9 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
The Differential Structure of Generators of GNS-symmetric Quantum Markov Semigroups
Melchior Wirth
We show that the generator of a GNS-symmetric quantum Markov semigroup can be written as the square of a derivation. This generalizes a result of Cipriani and Sauvageot for tracial…
Christensen-Evans theorem and extensions of GNS-symmetric quantum Markov semigroups
Melchior Wirth
In this note we prove a refined version of the Christensen-Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show…
Curvature-dimension conditions for symmetric quantum Markov semigroups
Melchior Wirth, Haonan Zhang
Following up on the recent work on lower Ricci curvature bounds for quantum systems, we introduce two noncommutative versions of curvature-dimension bounds for symmetric quantum Ma…