TITLE:
Quantum Computingvia Entanglement in Geometric Algebra Approach
AUTHORS:
Alexander Soiguine
KEYWORDS:
Geometric Algebra, Wave Functions, Entanglement, Maxwell Equations, Three-Dimensional Sphere
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.2,
February
22,
2024
ABSTRACT: The superiority of hypothetical quantum computers is not due to faster calculations but due to different scheme of calculations running on special hardware. At the same time, one should realize that quantum computers would only provide dramatic speedups for a few specific problems, for example, factoring integers and breaking cryptographic codes in the conventional quantum computing approach. The core of quantum computing follows the way a state of a quantum system is defined when basic things interact with each other. In the conventional approach, it is implemented through the tensor product of qubits. In the suggested geometric algebra formalism simultaneous availability of all the results for non-measured observables is based on the definition of states as points on a three-dimensional sphere, which is very different from the usual Hilbert space scheme.