Mentoring
Projects mentored
Undergraduate graduation projects
Mariana Pérez Muralles1 (ECFM-USAC) March 2025 – present
Parrondo’s paradox in discrete-time quantum walks
Investigation of the emergence of a genuine Parrondo’s paradox in 1D discrete-time quantum walks using homogeneous coin operators.
This project includes the co-organization of a week-long hands-on introductory course on Wolfram Mathematica (course website).Amado Cabrera Estrada1 (ECFM-USAC) March 2025 – present
Imperfect measurements in discrete-time quantum walks
Analysis of the effects of imperfect measurement apparatus, within the quantum channel-based framework of fuzzy measurements, on 1D discrete-time quantum walks.
This project includes the co-organization of a week-long hands-on introductory course on Wolfram Mathematica (course website).
Undergraduate final internship projects
Dessiré Zapeta (ECFM-USAC) May 2026 – Present
Quantum chaos in quantum walks:
Investigation of the level spacing distributions of discrete-time quantum walks in billiards.Saúl Najera (ECFM-USAC) September 2025 – May 2026
Quantum chaos in the Bose–Hubbard model:
Characterization of the integrable-to-chaos transition in the Bose–Hubbard model. [Final report (in Spanish)]
Integrable-to-chaos transition in the Bose-Hubbard model with N=L (N: bosons, L: sites) (a) KL divergence between numerical \(P(r)\) and \(P_{\mathrm{GOE}}(r)\) (filled markers) and \(P_{\mathrm{GOE}}(r)\) (open markers). (b) Mean level spacing ratio.
Mariana Pérez Muralles (ECFM-USAC) August 2023 – November 2024
Discrete-time quantum walks:
Theoretical framework and numerical implementation of discrete-time quantum walks.
[Final report (in Spanish)]Amado Cabrera Estrada (ECFM-USAC) August 2023 – November 2024
Discrete-time quantum walks:
Theoretical framework and numerical implementation of discrete-time quantum walks.
A Wolfram Language package developed by Amado during this project is available at https://github.com/AmadoCab/QW.
[Final report (in Spanish)]