Author(s)

Alexander Soiguine

SOiGUINE Quantum Computing, Aliso Viejo, USA.

Geometric Algebra formalism opens the door to developing a theory deeper than conventional quantum mechanics. Generalizations, stemming from implementation of complex numbers as geometrically feasible objects in three dimensions, unambiguous definition of states, observables, measurements, Maxwell equations solution in those terms, bring into reality a kind of physical fields spreading through the whole three-dimensional space and values of the time parameter. The fields can be modified instantly in all points of space and time values, thus eliminating the concept of cause and effect, and perceiving of one-directional time. In the suggested theory all measured observable values get available all together, not through looking one by one. In this way quantum computer appeared to be a kind of analog computer keeping and instantly processing information by and on sets of objects possessing an infinite number of degrees of freedom. As practical implementation, the multithread GPUs bearing the CUDA language functionality allow to simultaneously calculate observable measurement values at a number of space/time discrete points only restricted by the GPU threads capacity.

Geometric Algebra, Quantum Mechanics, Wave Functions, Maxwell Equations, GPU, CUDA

Soiguine, A. (2023) Quantum Computer on Nvidia GPU. Journal of Applied Mathematics and Physics, 11, 2195-2204. doi: 10.4236/jamp.2023.118141.