Workshop on QUANTUM INFORMATION PROCESSING AND QUANTUM
COMMUNICATIONS

Miniworkshop on Quantum Foils
Liouville mechanics with an epistemic restriction is
equivalent to Gaussian quantum mechanics

aula dottorato  LUNEDì 17 DICEMBRE, ore 14.00 

ROBERT
SPEKKENS, University of Cambridge UK 
>VITAE:
Robert Spekkens is a Canada/USA Royal Society research fellow in the Department
of Applied Mathematics and Theoretical Physics at Cambridge University.
His main field of interest is the foundations of quantum mechanics. Recently,
his research has focussed on three topics: the resource theory of quantum
reference frames, classical theories with an epistemic restriction as
foils to quantum theory, and a generalization of the traditional notion
of contextuality as an umbrella for notions of nonclassicality. 

Abstract 


I will discuss a toy theory that reproduces a wide variety
of qualitative features of quantum theory for degrees of freedom that
are continuous. The ontology of the theory is that of classical particle
mechanics, but it is assumed that there is a constraint on the amount
of knowledge that an observer may have about the motional state of any
collection of particles  Liouville mechanics with an epistemic restriction.
The formalism of the theory is determined by examining the consequences
of this "classical uncertainty principle" on state preparations,
measurements, and dynamics. The result is a theory of hidden variables
that can be shown to be equivalent to Gaussian quantum mechanics.


