3 papers
quant-ph2025
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…
math.CA2025
Matrix valued orthogonal polynomials related to SU, their algebras of differential operators and the corresponding curves
F. Alberto Grünbaum, Manuel D. De la Iglesia
We give two examples of algebras of differential operators associated to families of matrix valued orthogonal polynomials arising from representations of SU. The first one g…
quant-ph2024
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…