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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

The power of epistemic restrictions in reconstructing quantum theory
Speaker(s): Robert Spekkens
Abstract: A significant part of quantum theory can be obtained from a single innovation relative to classical theories, namely, that there is a fundamental restriction on the sorts of statistical distributions over classical states that can be prepared.  (Such a restriction is termed “epistemic” because it implies a fundamental limit on the amount of knowledge that any observer can have about the classical state.)  I will support this claim in the particular case of a theory of many classical 3-state systems (trits) where if a particular kind of epistemic restriction is assumed -- one that appeals to the symplectic structure of the classical state space -- it is possible to reproduce the operational predictions of the stabilizer formalism for qutrits.  The latter is an interesting subset of the full quantum theory of qutrits, a discrete analogue of Gaussian quantum mechanics. This is joint work with Olaf Schreiber.
Date: 10/08/2009 - 4:30 pm
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