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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).
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.
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!
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!
News
12/03/2025: My work Christensen-Sinclair factorization via semidefinite programming has been accepted for publication in Linear Algebra and its Applications.
08/03/2025: Our work A cb-Bohnenblust-Hille Inequality with Constant One and Its Applications in Learning Theory, with Srinivasan Arunachalam, Arkopal Dutt and Carlos Palazuelos has been accepted to publication in Mathematische Annalen!
31/01/2025: Our work Testing and learning structured quantum Hamiltonians, with Srinivasan Arunachalam and Arkopal Dutt has been accepted to STOC 2025!
12/11/2024: Our work Grothendieck inequalities characterize converses to the polynomial method, with Jop Briët and Sander Gribling has been published in Quantum!
31/10/2024: New paper on arxiv with Srinivasan Arunachalam and Arkopal Dutt: Testing and learning structured quantum Hamiltonians.
21/10/2024: New paper on arxiv: Learning junta distributions, quantum junta states, and QAC0 circuits.
14/09/2024-09/11/2024: I participated in the Dual Trimester Program: "Boolean Analysis in Computer Science" hosted at Hausdorff Institute of Mathematics, in Bonn, Germany.
28/08/2024: My work Influences of Fourier Completely Bounded Polynomials and Classical Simulation of Quantum Algorithms has been published in Chicago Journal of Theoretical Computer Science!
18/07/2024: New paper on arxiv: Understanding Christensen-Sinclair factorization via semidefinite programming.
Papers
Papers
Testing and learning structured quantum Hamiltonians (arxiv)
Srinivasan Arunachalam, Arkopal Dutt, Francisco Escudero Gutiérrez
Learning junta distributions and quantum junta states, and QAC0 circuits (arxiv)
Jinge Bao, Francisco Escudero Gutiérrez
Understanding Christensen-Sinclair factorization via semidefinite programming (arxiv)
Francisco Escudero Gutiérrez
Learning low-degree quantum objects (arxiv)
Srinivasan Arunachalam, Arkopal Dutt, Francisco Escudero Gutiérrez, Carlos Palazuelos
TQC 2024 and ICALP 2024
All notions of Sp expansion are equivalent (arxiv)
Francisco Escudero Gutiérrez, Garazi Muguruza
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
TQC 2023 and Chicago Journal of Theoretical Computer Science
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
Popular science
Popular science
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