Generalized quantum computing and the problem of randomness origin in quantum mechanics
Institute of Physics and Technology, Ural Federal University, Yekaterinburg, Russian Federation
Abstract

Randomness is the foundation of quantum mechanics. However, existing theories do not explain its origin. In this paper, a hypothesis is proposed that the phase of the wave function is the sole source of randomness in quantum mechanics. Two postulates of quantum mechanics are proposed. The first postulate states that quantum randomness arises as a consequence of a chaotic scattering process in which wave function phases act as variables. The second postulate asserts that particle phases interact within a topological space, ensuring inherently non-local interactions. The relationship between this model and hidden-variable theories is examined, and experiments to test the postulates are proposed. The proposed theory can serve as a basis for the creation of quantum artificial intelligence on a fundamentally new basis.

Keywords

Born’s rule; phase of the wave function; group theory; pseudorandom numbers; discrete mapping; quantum computing

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