PhD. Eng. Marcelo Forets Researcher in Applied Mathematics

Doctoral thesis: Marches quantiques et Mecanique Quantique Relativiste

On 10th Dec, 2015 I defended my PhD thesis in Mathematics and Informatics at Universite Joseph Fourier (which in 2016 became Universite Grenoble Alpes).

My PhD advisors were Pablo Arrighi and Alain Joye. I am grateful for their constant support during these three years of work.

You will find a PDF version of the thesis, Marches quanties et Mecanique Quantique Relativiste, in the HAL repository (French acronym for hyper-articles en ligne).

The main topics of my PhD thesis are:

  • Quantum walks and quantum cellular automata.
  • Quantum simulation of physical systems. The Dirac equation.
  • Spectral analysis of unitary operators.