Functional Analysis and Quantum Information

Dates: 20-24 March, 2023

Contact: Fernando Lledó (flledo@math.uc3m.es), Carlos Palazuelos (cpalazue@ucm.es), Julio de Vicente (jdvicent@math.uc3m.es)

In recent years there have been many interactions between quantum information and functional analysis, which have led to striking results in both fields. The aim of this week is to go deeper in this direction by discussing some of the most recent results and also by thinking about new interesting open problems. Along the week, there will also be some talks adding quantum field theory as another interesting ingredient to be considered in the interface between quantum information and functional analysis.

Confirmed lecturers:

  • Guillaume Aubrun (Université Claude Bernard Lyon 1)
  • Jop Briet (CWI Amsterdam)
  • Marius Junge (University of Illinois at Urbana-Champaign)
  • Cécilia Lancien (Université Grenoble Alpes)
  • Gandalf Lechner (University Erlangen-Nürnberg)
  • Milan Mosonyi (Budapest University of Technology and Economics)
  • Alexander Stottmeister (Leibniz Universität Hannover)
  • Ivan Todorov (University of Delaware)
  • Andreas Winter (Universitat Autònoma de Barcelona)

Talks

  • Monday
    10:00. Registration
    10:30. Introduction and Welcome
    11:00. Marius Junge: A resource dependent notion of complexity for channels
    12:00. Ivan Todorov: Values of quantum non-local games (slides)
  • Tuesday
    11:00. Antreas Winter: Hidden Markov models - classical and quantum mechanisms, and beyond (slides)
    12:00. Jop Briët: Grothendieck inequalities and quantum query complexity
  • Wednesday
    11:00. Gandalf Lechner: Entanglement in operator-algebraic quantum field theory (slides)
    12:00. Alexander Stottmeister: Operator algebraic renormalization and simulation of quantum fields
  • Thursday
    11:00. Cecilian Lancien: Quantum expanders - Random constructions & Applications (slides)
    12:00. Mllan Mosonyi: Super-exponential distinguishability of correlated quantum states (slides)
  • Friday
    11:00. Briet: Colloquium UC3M (online) - Randomness and structure in combinatorics, analysis and computer science
    12:00. Guillaume Aubrum: Monogamy of entanglement between cones