Teleportation of geometric structures in 3D

Details Teleportation of geometric structures in 3D Teleportation of geometric structures in 3D

2008-09-03

arxiv.org/abs/0809.0579v3

J. Phys. A: Math. Theor. 42, 135307 (2009)

Physics

Quantum Physics

typos corrected, one plot removed

Scientific paper

10.1088/1751-8113/42/13/135307

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.

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