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 3state 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
Collection: Reconstructing Quantum Theory  2009
