Teleportation of geometric structures in 3D
Abstract
The 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. A 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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- April 2009
- DOI:
- 10.1088/1751-8113/42/13/135307
- arXiv:
- arXiv:0809.0579
- Bibcode:
- 2009JPhA...42m5307A
- Keywords:
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- Quantum Physics
- E-Print:
- typos corrected, one plot removed