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Where do Hilbert spaces come from, and where are they going?

Thursday September 24, 2020
3:30 pm


 Presenter:  Christopher Jackson
 Series:  CQuIC Seminars
 Abstract:  The Hilbert space was originally designed to study the real line by considering square-integrable functions. These days, the inner product inspires quantum physicists to tell a story of states, controls, and measurements.

Hilbert's ideas made it to quantum mechanics through his student Weyl who was friends with Schroedinger. Inspired by Shur, Weyl would go on to inspire Cartan to use Hilbert spaces to understand a great deal about manifolds. In this talk, I will explain how their perspective on Hilbert spaces actually make quite obvious that there is a scalable complete tomography for multiqubit systems, contrary to popular belief.
 Host:  Rafael Alexander
 Location:  CQuIC Zoom seminar

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