Projects mentored

Undergraduate graduation projects

1. 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).

2. 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

1. Saúl Najera (ECFM-USAC) September 2025 – present
   Quantum chaos in the Bose–Hubbard model:
   Characterization of the integrable-to-chaos transition in the Bose–Hubbard model.

2. 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)]

3. 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)]