TITLE:
Two Shaky Pillars of Quantum Computing
AUTHORS:
Alexander Soiguine
KEYWORDS:
Geometric Algebra, Wave Functions, Observables, Measurements
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.2,
February
13,
2023
ABSTRACT: Superposition and entanglement are two theoretical pillars quantum computing rests upon. In the g-qubit theory quantum wave functions are identified by points on the surface of three-dimensional sphere S3. That gives different, more physically feasible explanation of what superposition and entanglement are. The core of quantum computing scheme should be in manipulation and transferring of wave functions onS3as operators acting on observables and formulated in terms of geometrical algebra. In this way quantum computer will be a kind of analog computer keeping and processing information by sets of objects possessing infinite number of degrees of freedom, contrary to the two value bits or two-dimensional Hilbert space elements, qubits.