Péter Vrana

Beosztás: 
associate professor
Fokozat: 
PhD
Szoba: 
H22
Telefon: 
+36-1-463-1761
Email: 
vranap@math.bme.hu

CV: PDF icon cv-en.pdf

Kutatás

Publications and citations:
MTMTORCIDGoogleScholarScopus

I am an associate professor at the Department of Geometry within the Institute of Mathematics of the Budapest University of Technology and Economics. Previously, I was a postdoctoral researcher at ETH Zurich and at the Technical University of Munich. I recieved my PhD from the Doctoral School of Physics, Budapest University of Technology and Economics.

In 2019 I was awarded a János Bolyai Research Scholarship of the Hungarian Academy of Sciences.

My main research interest is in mathematical aspects of quantum information theory, especially asymptotic transformations in entanglement theory and other resource theories. In my work I use tools from various areas of mathematics, including representation theory, information theory, and matrix analysis.

Most important publications

  • Péter Vrana, A family of multipartite entanglement measures
    Communications in Mathematical Physics, 402(1):637–664, 2023
    arXiv, doi
  • Matthias Christandl, Péter Vrana, and Jeroen Zuiddam, Universal points in the asymptotic spectrum of tensors
    Journal of the American Mathematical Society, 36:31–79, 2023
    arXiv, doi
  • Péter Vrana, Asymptotic continuity of additive entanglement measures
    IEEE Transactions on Information Theory, 68(5):3208–3217, 2022
    arXiv, doi
  • Christopher Perry, Péter Vrana, and Albert H Werner, The semiring of dichotomies and asymptotic relative submajorization
    IEEE Transactions on Information Theory, 68(1):311–321, 2022
    arXiv, doi
  • Matthias Christandl, Péter Vrana, and Jeroen Zuiddam, Barriers for fast matrix multiplication from irreversibility
    Theory of Computing, 17(2):1–32, 2021
    arXiv, doi
  • Péter Vrana, Probabilistic refinement of the asymptotic spectrum of graphs
    Combinatorica, 41:873–904, 2021
    arXiv, doi
  • Alonso Botero, Matthias Christandl, and Péter Vrana, Large deviation principle for moment map estimation
    Electronic Journal of Probability, 26:1–23, 2021
    arXiv, doi
  • Péter Vrana and Matthias Christandl, Distillation of Greenberger–Horne–Zeilinger states by combinatorial methods
    IEEE Transactions on Information Theory, 65(9):5945–5958, 2019
    arXiv, doi
  • Asger Kjærulff Jensen and Péter Vrana, The asymptotic spectrum of LOCC transformations
    IEEE Transactions on Information Theory, 66(1):155–166, 2019
    arXiv, doi
  • Péter Vrana and Matthias Christandl, Entanglement distillation from Greenberger–Horne–Zeilinger shares
    Communications in Mathematical Physics, 352(2):621–627, 2017
    arXiv, doi