Polarizations as States and Their Evolution in Geometric Algebra Terms with Variable Complex Plane
Polarizations as States and Their Evolution in Geometric Algebra Terms with Variable Complex Plane作者机构：SOiGUINE Quantum Computing Aliso Viejo CA USA
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2018年第6卷第4期
页 面：704-714页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Quantum Mechanics Quantum Computing Geometric Algebra Maxwell Equations
摘 要：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.
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