Physics – Quantum Physics
Scientific paper
2010-06-08
EPTCS 26, 2010, pp. 109-115
Physics
Quantum Physics
Scientific paper
10.4204/EPTCS.26.10
In this article we extend on work which establishes an analology between one-way quantum computation and thermodynamics to see how the former can be performed on fractal lattices. We find fractals lattices of arbitrary dimension greater than one which do all act as good resources for one-way quantum computation, and sets of fractal lattices with dimension greater than one all of which do not. The difference is put down to other topological factors such as ramification and connectivity. This work adds confidence to the analogy and highlights new features to what we require for universal resources for one-way quantum computation.
Anders Janet
Hajdušek Michal
Markham Damian
Vedral Vlatko
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