András Gilyén
Alfréd Rényi Institute of Mathematics
Reáltanoda street 13-15, H-1053, Budapest, Hungary
Room: R.17.3. (on the second floor)
liam-e: uh[tod]iyner[ta]neylig

Links to my arXiv papers and my Google scholar page.

Bio & CV(English, Hungarian)

I am the leader of the "Quantum Generalizations of Markov Chain Monte Carlo Methods" Lendület (Momentum) group at the Rényi Institute. My main research topic is quantum algorithms and complexity, with a recent focus on stochastic quantum processes related to Glauber and Metropolis dynamics, and more generally quantum walks and quantum linear algebra methods (quantum singular value transformation and the block-encoding framework) with application in optimization and related fields. I received my PhD in 2019 from the University of Amsterdam, where I was supervised by Ronald de Wolf and co-supervised by Harry Buhrman at CWI/QuSoft. Between 2019 and 2021 I was an IQIM postdoctoral fellow at Caltech, meanwhile I received the ERCIM Cor Baayen Young Researcher Award in 2019 and was a Google Research Fellow at the Simons Institute for the Theory of Computing in Berkeley during the "The Quantum Wave in Computing" program in the spring of 2020. I was a Marie Skłodowska-Curie fellow at the Rényi Institute between 2021-2025.

Organizing and group activity

- I was awarded an ERC Starting Grant in 2025 and have open postdoc positions available starting fall 2026.
- I am organizing the QComputing workshop held between 23-25 September 2025 in Budapest, celebrating 200 years of the Hungarian Academy of Science and 100 years of Quantum mechanics.
- I am organizing the Budapest Open Quantum Systems Seminar. If you would like to join the mailing list please send me an e-mail.
- Earlier, I was organizing the Quantum Computer Science Seminar Series in Budapest.

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  Teaching

Supervising BSc, MSc and PhD students (including voluntary research projects [TDK in Hungarian]): Please write me an e-mail if you are interested!

- Quantum Computing (2025 Spring, 2024 Fall [in Hungarian], 2023 Fall, 2022 Fall, 2021 Fall, 2014 Spring [in Hungarian] @Eötvös Loránd University)
- Theory of Computation Exercise Class [in Hungarian] (2025 Fall, 2024 Fall, 2024 Spring, 2023 Spring, 2022 Spring @Eötvös Loránd University)
- Autumn school (Arbeitsgemeinschaft) on "Quantum Signal Processing and Nonlinear Fourier Analysis", Oberwolfach, Germany (6-11 October 2024)
- IAS / PCMI 2023 Quantum Computing Graduate Summer School, lecture series on Quantum Fourier transform beyond Shor’s algorithm -- Slides from day 1, 2, 3, 4, 5 and Exercise Sheet 1, 2, 3, 4
- Bad Honnef 2022 Quantum Computing Summer School -- Slides for Quantum Machine Learning, Exercises, Slides for Grand Unification of Quantum Algorithms
- Summer School in Post-Quantum Cryptography, Eötvös Loránd University, Budapest, Hungary (August 2022) -- Slides, Exercises
- Quantum Computing TA (2019, 2018, 2017 Spring @University of Amsterdam)

  Some introductory lectures I have given about quantum algorithms

- Tutorial on Quantum Algorithms at the 23rd Annual Conference on Quantum Information Processing
- Plenary talk on Quantum Singular Value Transformation & Its Algorithmic Applications at the 14th Conference on the Theory of Quantum Computation, Communication and Cryptography
- Techniques for Hamiltonian Simulation and Beyond at the Quantum Algorithms workshop of the The Quantum Wave in Computing program at the Simons Institute for the Theory of Computing
- Quantum Linear Algebra and its Algorithmic Applications lecture at The 4th Advanced School in Computer Science and Engineering on The Mathematics of Quantum Computation
- Introduction to Quantum Random Walks at the Quantum Cryptography for Dummies seminar series of the Lattices: Algorithms, Complexity, and Cryptography program at the Simons Institute for the Theory of Computing

  Other scientific works

- Undergraduate research essay (TDK in Hungarian): "Egy qubit-es káosz és kapcsolata a komplex dinamikus rendszerekhez" (English title: "Single-qubit chaos and its relation to complex dynamical systems") [Source of the stereographic projection image -- Figure 3]