About

My name is Ernesto, I'm a graduate student at the University of Waterloo. My research area is in quantum theory and computation, and I'm currently studying problems related to the simulability of quantum systems.

For research related inquiries please reach me by email at ecamacho (at) uwaterloo.ca, or visit me at the IQC.

Mathstodon / Github

Most recent blog post

• Orbital angular momentum, Lie groups and Lie algebras
• John Bell's HVM for a single spin-1/2 particle

Publications

• Tomographic Universality of the Discrete Wigner Function - I. Sainz, E. Camacho, A. García, A. Klimov - Jan 2024

Notes and projects (ES - written in spanish)

• Undergrad thesis - The Discrete Wigner Function (ES)
• The Laplace Transform (ES)
• Intro to Neural Networks presentation (ES)

Youtube math/physics content

This list contains videos, lectures, courses, etc that I have either watched or am watching (✓), or that I plan to watch.

• Quantum Mechanics for Mathematicians by A. Alekseev - NCCR SwissMAP ✓
• Quantum Many-Body Physics in Condensed Matter by L. Gregorio Dias
• The Functional Analysis Of Quantum Information Theory
• PSI 13/14 Quantum Theory by Joseph Emerson ✓
• Symmetries and quantum mechanics by Tobias Osborne
• Symplectic geometry & classical mechanics by Tobias Osborne
• Lecture by Douglas Hofstadter: Albert Einstein on Light; Light on Albert Einstein ✓
• Algebraic Topology: a beginner's course; N. J. Wildberger
• Symposium "Open questions in the quantum many-body problem"

Interesting sites

• My friend Jackeoz' personal site (math)
• My friend Danesh's personal site (quantum info)
• John Baez's site (math and physics) (Wordpress)
• Keith Conrad's site (math)
• The Unapologetic Mathematician
• Not Even Wrong (Peter Woit's blog)
• Climbing Mount Bourbaki
• Michael Robert's blog (math)
• Koushik's site (math)
• Ingemar Bengtsson's site (quantum, math)

Music

• Goldberg Variations