TITLE:
Polarizations as States and Their Evolution in Geometric Algebra Terms with Variable Complex Plane
AUTHORS:
Alexander Soiguine
KEYWORDS:
Quantum Mechanics, Quantum Computing, Geometric Algebra, Maxwell Equations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.4,
April
20,
2018
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.