After reading Times article on D-Wave today I got to thinking...(adsbygoogle = window.adsbygoogle || []).push({});

The geometry of the Minkowski plane can be described with split-complex numbers

which brings into play the unit hyperbola.

An example of the Identity Component links split-complex numbers to the Klein four-group.

An example of the Klein four-group is given by the multiplicative group {1,5,7,11} with the action being

multiplication modulo 12.

The Divisor Summatory Function can be visualized as the

count of the number of lattice points fenced off by a hyperbolic surface in k dimensions.

Quantized angular momentum can be shown to follow this geometry as well with Pauli matrices.

Couldn't something like this be used for Adiabatic quantum computation?

http://content.time.com/time/magazine/article/0,9171,2164806,00.html

http://en.wikipedia.org/wiki/Split-complex_number

http://en.wikipedia.org/wiki/Unit_hyperbola

http://en.wikipedia.org/wiki/Identity_component#Examples

http://en.wikipedia.org/wiki/Klein_four-group

http://en.wikipedia.org/wiki/Divisor_summatory_function

http://en.wikipedia.org/wiki/Adiabatic_quantum_computation

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# Adiabatic quantum computation

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