38 citations · 150 across the 23 of their papers we have counts for
13 papers · 1 filter
Quantum Markov chains on the line: matrix orthogonal polynomials, spectral measures and their statistics
Manuel D. de la Iglesia, Carlos F. Lardizabal, Newton Loebens
Inspired by the classical spectral analysis of birth-death chains using orthogonal polynomials, we study an analogous set of constructions in the context of open quantum dynamics a…
Mean hitting times of quantum Markov chains in terms of generalized inverses
Carlos F. Lardizabal
We study quantum Markov chains on graphs, described by completely positive maps, following the model due to S. Gudder (J. Math. Phys. 49, 072105, 2008) and which includes the dynam…
Quantum Markov chains: recurrence, Schur functions and splitting rules
F. A. Grünbaum, C. F. Lardizabal, L. Velázquez
In this work we study the recurrence problem for quantum Markov chains, which are quantum versions of classical Markov chains introduced by S. Gudder and described in terms of comp…
Quantum Markov processes on graphs, monitoring and hitting times
Carlos F. Lardizabal
We make use of matrix representations of completely positive maps in order to study open quantum dynamics on graphs, with emphasis on quantum walks and the associated trajectories…
Open quantum random walks on the half-line: the Karlin-McGregor formula, path counting and Foster's Theorem
Thomas S. Jacq, Carlos F. Lardizabal
In this work we consider open quantum random walks on the non-negative integers. By considering orthogonal matrix polynomials we are able to describe transition probability express…
Site recurrence of open and unitary quantum walks on the line
Silas L. Carvalho, Leonardo F. Guidi, Carlos F. Lardizabal
We study the problem of site recurrence of discrete time nearest neighbor open quantum random walks (OQWs) on the integer line, proving basic properties and some of its relations w…
Open Quantum Random Walks and the Mean Hitting Time Formula
Carlos F. Lardizabal
We make use of the Open Quantum Random Walk setting due to S. Attal, F. Petruccione, C. Sabot and I. Sinayskiy [J. Stat. Phys. (2012) 147:832-852] in order to discuss hitting times…
Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory
Carlos F. Lardizabal, Rafael R. Souza
In this work we study certain aspects of Open Quantum Random Walks (OQRWs), a class of quantum channels described by S. Attal et al. \cite{attal}. As a first objective we consider…
Open quantum random walks, hitting times, gambler's ruin and potential theory
Carlos F. Lardizabal
We consider a model of open quantum random walk and together with a quantum trajectory approach we are able to examine a notion of hitting time. We see that many constructions, suc…
On a class of quantum channels, open random walks and recurrence
Carlos F. Lardizabal, Rafael R. Souza
We study a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combini…
On non-commutative transfer operators and Radon-Nikodym derivatives
Carlos F. Lardizabal
We study relations between non-commutative Ruelle transfer operators over the C-algebra of linear bounded operators over separable Hilbert spaces …
On Ruelle transfer operators and completely positive maps
Carlos F. Lardizabal
We consider applications of transfer operators (also known as Ruelle operators) to completely positive maps (CPT) in quantum information theory. It is described a correspondence be…
A quantization procedure based on completely positive maps and Markov operators
Carlos F. Lardizabal
We describe -limit sets of completely positive (CP) maps over finite-dimensional spaces. In such sets and in its corresponding convex hulls, CP maps present isometric behavior a…