This public talk (this evening) may be of interest. Michael Freedman
is a Fields Medalist and working on a quantum computing project at
MSR. http://en.wikipedia.org/wiki/Michael_Freedman
David.
Schroedinger Theatre, Physics Buliding, TCD, 7 pm, Wed 12th September 2007.
Michael Freedman (Microsoft Research)
"How topology will save Moore's law: quantum computation via exotic
states of matter"
Einstein wrote, "God integrates empirically, he is not concerned with
our mathematical difficulties." A quantum computer will allow us (as
well) to integrate the Schroedinger equation. Like the microscope before
it, the quantum computer will peer into an unseen space. It is difficult
to believe that this space, once illuminated, will be less interesting
or less germane than the "space" of a living cell.
"Building" a quantum computer appears to be a nearly impossible task,
however we may expect to "find" natural quantum computers through the
study of 2-dimensional systems of interacting electrons. These natural
computers are topological states of matter exhibiting "nonableian
statistics." For background one may read: ["Computing with Quantum
Knots" - Scientific American, April 2006] and ["Topological quantum
computation" - Physics Today, July 2006.]
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