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

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

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

ℹ️ Information

Quantum states as measures on the spectral presheaf

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.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Sackler Lecture Theatre, Level 7, Wellcome Trust/MRC Building, Addenbrooke's Site Institute of Metabolic Science (IMS), Level 4 ATC, Seminar rooms 1,2 & 3 DELETED

Other talks

Machine Learning for Spectral Geometry and Vice Versa "Green" RSEs? A new role (and a new community) to reduce the environmental impact of research LCLU Annual Talk: The Early Aqueous Environment of Mars Inferred From Mission Lifetime Results by the Curiosity Rover at Gale Crater Polar Oceans Seminar Talk Group Presentation 1 Morning Break / Group Photo
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity