Abstract
The previously initialized approach is used for description and analysis of qubits, geometric phase parameters – things critical in the area of topological quantum computing. The used tool, Geometric (Clifford) Algebra is the most convenient formalism for that case. Generalizations of formal “complex plane” to an arbitrary variable plane in 3D, and of usual Hopf fibration to the map generated by an arbitrary unit value element are resulting in more profound description of qubits compared to quantum mechanical Hilbert space formalism.
Alexander Soiguine