Dear all, the QM Talks@CBPF are back!
As our kickoff Quantum Mechanics meeting of the year, we’ll have as speaker Pérola Milman from the Université Paris Diderot-Paris 7. Pérola will teach us how to tame the “monster infinite-dimensions” — a monster known to cause a lot of trouble.
Check the details below, and update your calendar! See you there.
Speaker: Pérola Milman (Paris 7)
Title: Continuous discretization of infinite dimensional Hilbert spaces
Coordinates: 18.02, 14:30h @ CBPF Seminar room 601C
Abstract: Observables with a continuous spectrum are known to be fundamentally different from those with a discrete and finite spectrum. While some fundamental tests and applications of quantum mechanics originally formulated for discrete variables have been translated to continuous ones, this is not the case in general. Here we show that it is possible to manipulate, detect and classify continuous variable states using observables with a continuous spectrum revealing properties and symmetries which are analogous to finite discrete systems. Our approach leads to an operational way to define, and adapt, to arbitrary continuous quantum systems, quantum protocols and algorithms developed for discrete systems.