Contact us
The main page content begins here.

A look at some "Axioms for the category of Hilbert spaces (and linear contractions)"

Speakers:
  • Nesta van der Schaaf
    (
    • University of Edinburgh
    )

Event description

We'll have a look at a new result that characterises Hilbert spaces (and linear contractions) in terms of categorical axioms that do not refer to probabilities, complex numbers, inner products, continuity, convexity, or dimension. To avoid going into too many technical details, I will try to motivate the axioms and broader research landscape (categorical quantum mechanics) by drawing analogies to familiar terminology of sets and Hilbert spaces. (Based on joint work with Chris Heunen and Andre Kornell.)

Ref: arXiv:2211.02688

Nesta van der Schaaf is a member of the LFCS in the School of Informatics.

A look at some "Axioms for the category of Hilbert spaces (and linear contractions)"

Venue

Higgs Centre Seminar Room, JCMB (Find us on campus maps)
The Higgs Centre for Theoretical Physics
School of Physics and Astronomy
James Clerk Maxwell Building, 4305
Peter Guthrie Tait Road
Edinburgh
EH9 3FD
UK

Related events

This event is part of:

Organisers

  • Andrew Beckett
    (
    • University of Edinburgh
    )
  • Linden Disney-Hogg
    (
    • University of Edinburgh
    )
  • Conor Elrick
    (
    • University of Edinburgh
    )