89 citations · 196 across the 11 of their papers we have counts for
11 papers
Quantum game theory for 2 2 games: a mathematical framework
Gloria Ferraris, Veronica Umanità
We develop a rigorous mathematical framework for quantum game theory applied to static 2x2 games, extending classical concepts to the quantum setting where players may employ arbit…
The Spectral Gap of a Gaussian Quantum Markovian Generator
Franco Fagnola, Damiano Poletti, Emanuela Sasso +1
Gaussian quantum Markov semigroups are the natural non-commutative extension of classical Ornstein-Uhlenbeck semigroups. They arise in open quantum systems of bosons where canonica…
The general structure of the Decoherence-free subalgebra for uniformly continuous Quantum Markov semigroups
Emanuela Sasso, Veronica Umanità
By using the decomposition of the decoherence-free subalgebra N(T) in direct integrals of factors, we obtain a structure theorem for every uniformly continuous QMSs. Moreover we pr…
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…
Structure of Uniformly Continuous Quantum Markov Semigroups
Julien Deschamps, Franco Fagnola, Emanuela Sasso +1
The structure of uniformly continuous quantum Markov semigroups with atomic decoherence-free subalgebra is established providing a naturaldecomposition of a Markovian open quantum…
An extension of Mercer theorem to vector-valued measurable kernels
Ernesto De Vito, Veronica Umanita`, Silvia Villa
We extend the classical Mercer theorem to reproducing kernel Hilbert spaces whose elements are functions from a measurable space into . Given a finite measure o…