From Osher Doctorow

In Probable Causation/Influence (PI), it is argued (rather
convincingly) that the Gaussian/normal distribution is the worst of
the "optimal" distributions (optimal either in the sense of Maximum
Entropy using Shannon entropy or in sense of PI Expectation E(X--Y)).

F. Dell'Anno, S. De Siena, L. ALbano Farias, and F. Illuminat of U.
deli di Studi de Solerno, Italy come out now with a new paper,
"Continuous-variable quantum teleportation with noisy non-Gaussian
resources," arXiv: 0710.3259 v1 [quant-ph] 17 Oct 2007, 7 pages, which
shows that Non-Gaussian entangled states of the radiation field
outperform Gaussian ones including probabilistically in increase in
the probability of success of teleportation.

They use characteristic functions, which although analogous to
probability density/probability mass functions and cumulative
distribution functions in being uniquely associated to each
probability distribution or random variable, turn out to integrate a
complex exponential rather than a real variable. The characteristic
function f(t) is defined as E(exp(itX)) for real-valued t, where E( )
is "expectation of", X being any random variable.

Entanglement, by the way, appears to go in an opposite direction to
the usual "everything is discrete" fad in much of quantum theory, also
similar to PI's focus on continuity and connection.

Osher Doctorow