In the July 21 2017 issue of the journal Science Qing Lin He reports he was
able to move Majorana quasiparticles in a nanowire, their existence has
been shown before but this is the first time they could be moved
around. Majorana quasiparticles (sometimes called Anyons) should obey
non-Abelian statistics, which just means its non-commutative. But that is a
big deal  because something like that would be ideal for use as the working
material in a Quantum Computer because they would be far more resistant to
quantum decoherence, the biggest enemy to practical quantum computing.

​The amount of conductance a nanowire containing Anyons has comes in
discrete jumps and is a function of the topological class (the number of
times the spacetime worldlines of the Anyons cross over), and it's not easy
to change the topological class of entangled Anyons,  and that makes them
resistant to quantum decoherence. As a example you probably can't change
the topological class of your shoelaces (nerd-speak for untie your
shoelaces) with just any old random bump, a much more intricate maneuver
would be necessary. Another way of looking at it is that each Anyon is
really only half a particle so a single Qbit of information is stored in
both,  so for a Qbit to be scrambled both Anyons would have to be hit at
the same time, and they can be as far apart as you like. The next step is
to get the Anyons to actually perform a calculation and so far none has
even been able to add 1+1, however once that goal has been reached I think
it would be possible to scale up to something far larger much more quickly
than other approaches.

This certainly isn't the only approach to Quantum Computing, instead of
Anyons companies like IBM, and Google and D-wave are using other things
like ions and photons and superconducting junctions, and unlike Anyons they
have already been able to perform a few simple calculations. Only Microsoft
is betting entirely on the more radical topological approach, time will
tell which method is better but it would be ironic if a company with a
reputation for being plodding ends up being the most innovative of all. At
the very least you've got to give them  credit for taking the coolest path,
and it might be the most lucrative too,

John K Clark

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