University of Cambridge > Talks.cam > Category Theory Seminar > Quantum states as measures on the spectral presheaf

  Browse A-Z

Log in

Cambridge users (raven)details Other usersdetails No account?details

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

Quantum states as measures on the spectral presheaf

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Julia Goedecke.

States of a physical system—classical or quantum—can be seen as normed positive linear functionals (i.e., integrals) on the algebra of physical quantities. In classical physics, where the algebra is abelian, states areequivalently described by measures on the state space. A quantum system has a nonabelian algebra of physical quantities, and there is no obvious notion of a state space. We will show how quantum states can also be understood as measures, but now defined on a certain presheaf, called the spectral presheaf, which takes the role of the state space of the quantum system. The spectral presheaf is a central object in the topos approach to quantum theory. It will be shown how the spectral presheaf is related to, but different from the Gel’fand spectrum of a certain topos-internal operator algebra.

This talk is part of the Category Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

CMS Events Brain Mapping Unit Networks Meeting and the Cambridge Connectome Consortium CRASSH-Festival of Ideas

Other talks

The Global Warming Sceptic Visual Analytics for High-Dimensional Data Exploration and Engineering Design Optimising the definition of MR-based lung imaging biomarkers Insight into the molecular mechanism of extracellular matrix calcification in the vasculature from NMR spectroscopy and electron microscopy Babraham Lecture - The Remote Control of Gene Expression Aspects of adaptive Galerkin FE for stochastic direct and inverse problems Existence of Lefschetz fibrations on Stein/Weinstein domains Throwing light on organocatalysis: new opportunities in enantioselective synthesis Cyclic Peptides: Building Blocks for Supramolecular Designs Discovering regulators of insulin output with flies and human islets: implications for diabetes and pancreas cancer Networks, resilience and complexity Electoral intrigue, ethnic politics and the vibrancy of the Kenyan public sphere
 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity