In Amsterdam, I am luckily advised by Jop Briët and funded by Networks. Previously, I was in Madrid, where I completed the double bachelor's degree of math and physics and a master's program in Advanced Mathematics at University Complutense (UCM). During my master I did my thesis at MathQI and a research internship at QUINFOG (CSIC). During fall of 2023, I was an intern at Phasecraft Ltd (Bristol, UK).
My research interests mainly concern quantum computing and functional analysis, but I like everything where math can help computer science or physics to prove results with certain amount of generality. Probably, my PhD thesis title will be something like 'Polynomials, norms and quantum computing'. Some concrete topics I work on are Grothendieck inequalities, Bohnenblust-Hille inequalities, quantum query complexity, Aaronson-Ambainis conjecture, and computational learning and testing theory.
If you see me presenting something in a conference, please pay attention to the color of my slides/poster and the ones of my clothes, they will match!
Papers
Simple algorithms to test and learn local Hamiltonians (arxiv)
Francisco Escudero Gutiérrez
Influences of Fourier Completely Bounded Polynomials and Classical Simulation of Quantum Algorithms (arxiv, talk)
Francisco Escudero Gutiérrez
Grothendieck inequalities characterize converses to the polynomial method (arxiv, talk)
Jop Briët, Francisco Escudero Gutiérrez, Sander Gribling
On converses to the polynomial method (arxiv, talk)
Jop Briët, Francisco Escudero Gutiérrez
Hardware-efficient entangled measurements for variational quantum algorithms (arxiv)
Francisco Escudero Gutiérrez, David Fernández-Fernández, Gabriel Jaumà, Guillermo F. Peñas, Luciano Pereira