46 citations · 478 across the 31 of their papers we have counts for
6 papers · 1 filter
Entropy decay for Davies semigroups of a one dimensional quantum lattice
Ivan Bardet, Ángela Capel, Li Gao +3
Given a finite-range, translation-invariant commuting system Hamiltonians on a spin chain, we show that the Davies semigroup describing the reduced dynamics resulting from the join…
Optimal convergence rate in the quantum Zeno effect for open quantum systems in infinite dimensions
Tim Möbus, Cambyse Rouzé
In open quantum systems, the quantum Zeno effect consists in frequent applications of a given quantum operation, e.g.~a measurement, used to restrict the time evolution (due e.g.~t…
Deviation bounds and concentration inequalities for quantum noises
Tristan Benoist, Lisa Hänggli, Cambyse Rouzé
We provide a stochastic interpretation of non-commutative Dirichlet forms in the context of quantum filtering. For stochastic processes motivated by quantum optics experiments, we…
Learning quantum many-body systems from a few copies
Cambyse Rouzé, Daniel Stilck França
Estimating physical properties of quantum states from measurements is one of the most fundamental tasks in quantum science. In this work, we identify conditions on states under whi…
Quantum concentration inequalities
Giacomo De Palma, Cambyse Rouzé
We establish transportation cost inequalities (TCI) with respect to the quantum Wasserstein distance by introducing quantum extensions of well-known classical methods: first, using…
Complete entropic inequalities for quantum Markov chains
Li Gao, Cambyse Rouzé
We prove that every GNS-symmetric quantum Markov semigroup on a finite dimensional matrix algebra satisfies a modified log-Sobolev inequality. In the discrete time setting, we prov…