35 citations · 370 across the 50 of their papers we have counts for
53 papers
Hidden processes and hidden Markov processes: classical and quantum
Luigi Accardi, El Gheteb Soueidy, Yun Gang Lu +1
This paper consists of parts. The first part only considers classical processes and introduces two different extensions of the notion of hidden Markov process. In the second pa…
Quasi-invariant states
Luigi Accardi, Ameur Dhahri
We develop the theory of quasi--invariant (resp. strongly quasi--invariant) states under the action of a group of normal --automorphisms of a --algebra (or von Neumann al…
The -dimensional quadratic Heisenberg algebra as a "non--commutative"
Luigi Accardi, Andreas Boukas, Yun-Gang Lu
We prove that the commutation relations among the generators of the quadratic Heisenberg algebra of dimension , look like a kind of \textit{non-commutative extensio…
The quantum mechanics canonically associated to free probability Part I: Free momentum and associated kinetic energy
Luigi Accardi, Tarek Hamdi, Yun Gang Lu
After a short review of the quantum mechanics canonically associated with a classical real valued random variable with all moments, we begin to study the quantum mechanics canonica…
von Neumann's Minimax Theorem for Continuous Quantum Games
Luigi Accardi, Andreas Boukas
The concept of a classical player, corresponding to a classical random variable, is extended to include quantum random variables in the form of self adjoint operators on infinite d…
Quantum Markov Chains: A unification approach
Luigi Accardi, Abdessatar Souissi, El Gheteb Soueidy
In the present paper we study a unified approach for Quantum Markov Chains. A new quantum Markov property that generalizes the old one, is discussed. We introduce Markov states and…