Teleportation of geometric structures in 3D
Quantum Physics
2009-03-25 v3
Abstract
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.
Cite
@article{arxiv.0809.0579,
title = {Teleportation of geometric structures in 3D},
author = {Diederik Aerts and Marek Czachor and Lukasz Orlowski},
journal= {arXiv preprint arXiv:0809.0579},
year = {2009}
}
Comments
typos corrected, one plot removed