41 citations · 123 across the 6 of their papers we have counts for
6 papers
On a generalized Central Limit Theorem and Large Deviations for Homogeneous Open Quantum Walks
Raffaella Carbone, Federico Girotti, Anderson Melchor Hernandez
We consider homogeneous open quantum random walks on a lattice with finite dimensional local Hilbert space and we study in particular the position process of the quantum trajectori…
On period, cycles and fixed points of a quantum channel
Raffaella Carbone, Anna Jenčová
We consider a quantum channel acting on an infinite dimensional von Neumann algebra of operators on a separable Hilbert space. When there exists an invariant normal faithful state,…
Irreducible decompositions and stationary states of quantum channels
Raffaella Carbone, Yan Pautrat
For a quantum channel (completely positive, trace-preserving map), we prove a generalization to the infinite dimensional case of a result by Baumgartner and Narnhofer. This result…
Homogeneous Open Quantum Random Walks on a lattice
Raffaella Carbone, Yan Pautrat
We study Open Quantum Random Walks for which the underlying graph is a lattice, and the generators of the walk are translation-invariant. We consider the quantum trajectory associa…
Logarithmic Sobolev inequalities and exponential entropy decay in non-commutative algebras
Raffaella Carbone
We study the relations between (tight) logarithmic Sobolev inequalities, entropy decay and spectral gap inequalities for Markov evolutions on von Neumann algebras. We prove that lo…
Large Deviations, Central Limit and dynamical phase transitions in the atom maser
Federico Girotti, Merlijn van Horssen, Raffaella Carbone +1
The theory of quantum jump trajectories provides a new framework for understanding dynamical phase transitions in open systems. A candidate for such transitions is the atom maser,…