I studied Mathematics and Computer Science (2018 - 2023) at Universidad Complutense de Madrid. In my last year, I was introduced to a Markov Chain Monte Carlo sampling algorithm that combined Metropolis-Hastings probabilities with Tensor Networks (TNMH). I continued with one of the research ideas from the paper where it was first proposed, guided by Prof. Sofyan Iblisdir, who also contributed to the aforementioned publication. The idea was to apply the good results obtained in spin systems to other models that had variables in a compact space.

The following year, I completed an MSc in Advanced Mathematics at the Universitat de Barcelona, while developing a parallel interest in Quantum Information Theory. During that time, I kept working with Sofyan Iblisdir on my master's thesis, which continued the project started previously. The project was supported by the Quantum Spain program.

In September 2024, I started my PhD studies in the MathQI group under the supervision of David Pérez García and Sofyan Iblisdir. The project is still focused on developing the TNMH algorithm for gauge theories, but also on studying its theoretical bounds and obtaining numerical results for different models. To that end, I am studying Gauge Theory, Probability Theory, numerical methods in Linear Algebra and also working with HPC systems that can cope with the computational demands of the numerics.