Polarizations as States and Their Evolution in Geometric Algebra Terms with Variable Complex Plane - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.4, April 2018

Polarizations as States and Their Evolution in Geometric Algebra Terms with Variable Complex Plane ()

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Download as PDF (Size: 505KB) PP. 704-714

DOI: 10.4236/jamp.2018.64063 655 Downloads 1,402 Views Citations

Author(s)

Alexander Soiguine

Affiliation(s)

SOiGUINE Quantum Computing, Aliso Viejo, CA, USA.

ABSTRACT

Recently suggested scheme [1] of quantum computing uses g-qubit states as circular polarizations from the solution of Maxwell equations in terms of geometric algebra, along with clear definition of a complex plane as bivector in three dimensions. Here all the details of receiving the solution, and its polarization transformations are analyzed. The results can particularly be applied to the problems of quantum computing and quantum cryptography. The suggested formalism replaces conventional quantum mechanics states as objects constructed in complex vector Hilbert space framework by geometrically feasible framework of multivectors.

KEYWORDS

Quantum Mechanics, Quantum Computing, Geometric Algebra, Maxwell Equations

Share and Cite:

Soiguine, A. (2018) Polarizations as States and Their Evolution in Geometric Algebra Terms with Variable Complex Plane. Journal of Applied Mathematics and Physics, 6, 704-714. doi: 10.4236/jamp.2018.64063.

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