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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.
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1751-8113/42/13/135307
- License
- Copyright (2009 IOP Publishing Ltd)
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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Journal of Physics A-Mathematical and Theoretical
no. 42,
pages 135307 - 135315,
ISSN: 1751-8113 - Language:
- English
- Publication year:
- 2009
- Bibliographic description:
- Aerts D., Czachor M., Orłowski Ł.: Teleportation of geometric structures in 3D// Journal of Physics A-Mathematical and Theoretical. -Vol. 42, nr. Nr 13, April. (2009), s.135307-135315
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/1751-8113/42/13/135307
- Verified by:
- Gdańsk University of Technology
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