%0 Journal Article
%T Teleportation of geometric structures in 3D
%A Diederik Aerts
%A Marek Czachor
%A Lukasz Orlowski
%J Mathematics
%D 2008
%I arXiv
%R 10.1088/1751-8113/42/13/135307
%X Simplest quantum teleportation algorithms can be represented in geometric terms in spaces of dimensions 3 (for real state-vectors) and 4 (for complex state-vectors). The geometric representation is based on geometric-algebra coding, a geometric alternative to the tensor-product coding typical of quantum mechanics. We discuss all the elementary ingredients of the geometric version of the algorithm: Geometric analogs of states and controlled Pauli gates. Fully geometric presentation is possible if one employs a nonstandard representation of directed magnitudes, formulated in terms of colors defined via stereographic projection of a color wheel, and not by means of directed volumes.
%U http://arxiv.org/abs/0809.0579v3