Quantum Mechanics as Complex Probability Theory

TL;DR

This paper presents a formulation of quantum mechanics using complex probability theory, demonstrating its consistency with key principles, Bell's theorem, and Bayesian inference, supported by illustrative examples.

Contribution

It introduces a realistic, frequency-based quantum mechanics framework based on complex probabilities, integrating wavefunctions, pure and mixed states, and Bayesian inference.

Findings

Quantum mechanics can be formulated with complex probabilities.

The approach is consistent with Bell's theorem.

Includes examples illustrating the theory.

Abstract

Realistic quantum mechanics based on complex probability theory is shown to have a frequency interpretation, to coexist with Bell's theorem, to be linear, to include wavefunctions which are expansions in eigenfunctions of Hermitian operators and to describe both pure and mixed systems. Illustrative examples are given. The quantum version of Bayesian inference is discussed. Postscript version of hep-th/9307019.