Antonio Hernández-Garduño

Developer · Researcher


Current Focus

Research Interests

My current research interests are:

In a "previous life" I worked on geometric methods in Celestial Mechanics and more broadly in Hamiltonian Mechanics. A common thread that guided that research was the geometry of fiber bundles and connections, as well as the consequences of symmetry. I applied these ideas to topics as diverse as vortex dynamics and the N-body problem in non-euclidean spaces.

An important aspect of the dynamics of Hamiltonian systems on fiber bundles with a principal connection is that of holonomy. I had been interested in the use of holonomy for implementing quantum gates (holonomic quantum computation). A related interest was the topic of Quantum Optimization Algorithms, in particular how various optimization algorithms can be translated into an Ising-type model and implemented using quantum annealing.

Other Interests


Recent courses that I taught at Instituto Tecnológico Autónomo de México (ITAM) (2020-2021):