Nesta van der Schaaf
- University of Edinburgh
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.)
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)"
School of Physics and Astronomy
James Clerk Maxwell Building, 4305
Peter Guthrie Tait Road
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