38 citations · 150 across the 23 of their papers we have counts for
8 papers · 1 filter
Exact solutions of open quantum Brownian motions on the real line for two-level systems
Manuel D. de la Iglesia, Carlos F. Lardizabal
We investigate open quantum Brownian motions as quantum analogues of classical diffusion processes under interaction with an external enviroment. Building upon the microscopic deri…
One-dimensional Continuous-Time Quantum Markov Chains: qubit probabilities and measures
Manuel D. De la Iglesia, Carlos F. Lardizabal
Quantum Markov chains (QMCs) are positive maps on a trace-class space describing open quantum dynamics on graphs. Such objects have a statistical resemblance with classical random…
Hitting time expressions for quantum channels: beyond the irreducible case and applications to unitary walks
C. F. Lardizabal, L. F. L. Pereira
In this work we make use of generalized inverses associated with quantum channels acting on finite-dimensional Hilbert spaces, so that one may calculate the mean hitting time for a…
Mean hitting time formula for positive maps
C. F. Lardizabal, L. Velázquez
In the classical theory of Markov chains, one may study the mean time to reach some chosen state, and it is well-known that in the irreducible, finite case, such quantity can be ca…
Homogeneous open quantum walks on the line: criteria for site recurrence and absorption
T. S. Jacq, C. F. Lardizabal
In this work, we study open quantum random walks, as described by S. Attal et al. These objects are given in terms of completely positive maps acting on trace-class operators, lead…
Nonhomogeneous quantum Markov chains and a notion of ergodicity
Carlos F. Lardizabal, Rafael R. Souza
Motivated by a model presented by S. Gudder, we study a quantum generalization of Markov chains and discuss the relation between these maps and open quantum random walks, a class o…
A dynamical point of view of Quantum Information: Wigner measures
A. Baraviera, C. F. Lardizabal, A. O. Lopes +1
We analyze a known version of the discrete Wigner function and some connections with Quantum Iterated Funcion Systems. This paper is a follow up of "A dynamical point of view of Qu…
A dynamical point of view of Quantum Information: entropy and pressure
A. Baraviera, C. F. Lardizabal, A. O. Lopes +1
Quantum Information is a new area of research which has been growing rapidly since last decade. This topic is very close to potential applications to the so called Quantum Computer…