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19972025
most citedGenerators of Detailed Balance Quantum Markov Semigroups

89 citations · 229 across the 18 of their papers we have counts for

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quant-ph2025★ 5 cited

The Kossakowski Matrix and Strict Positivity of Markovian Quantum Dynamics

Julián Agredo, Franco Fagnola, Damiano Poletti

We investigate the relationship between strict positivity of the Kossakowski matrix, irreducibility and positivity improvement properties of Markovian Quantum Dynamics. We show tha…

quant-ph2022

The Generalized Fibonacci Oscillator as an Open Quantum System

Franco Fagnola, Chul Ki Ko, Hyun Jae Yoo

We consider an open quantum system with Hamiltonian whose spectrum is given by a generalized Fibonacci sequence weakly coupled to a Boson reservoir in equilibrium at inverse…

quant-ph2021★ 1 cited

The decoherence-free subalgebra of Gaussian Quantum Markov Semigroups

Julián Agredo, Franco Fagnola, Damiano Poletti

We demonstrate a method for finding the decoherence-subalgebra of a Gaussian quantum Markov semigroup on the von Neumann algebra $\mathcal{B}(Γ(\mathbb{C…

quant-ph2018★ 10 cited

Mathematical Models of Markovian Dephasing

Franco Fagnola, John E. Gough, Hendra I. Nurdin +1

We develop a notion of dephasing under the action of a quantum Markov semigroup in terms of convergence of operators to a block-diagonal form determined by irreducible invariant su…

quant-ph2017

Relationships between the decoherence-free algebra and the set of fixed points

F. Fagnola, E. Sasso, V. Umanita'

We show that, for a Quantum Markov Semigroup (QMS) with a faithful normal invariant state, the atomicity of the decoherence-free subalgebra and environmental decoherence are equiva…

quant-ph2015★ 13 cited

Entropy production and detailed balance for a class of quantum Markov semigroups

Franco Fagnola, Rolando Rebolledo

We give an explicit entropy production formula for a class of quantum Markov semigroups, arising in the weak coupling limit of a system coupled with reservoirs, whose generators $\…