Quantum-like Representation Algorithm: Transformation of Probabilistic Data into vectors on Bloch's Sphere

TL;DR

This paper introduces a simple algorithm that transforms probabilistic data into quantum-like vectors on the Bloch sphere, facilitating visualization and understanding of classical-quantum randomness relationships.

Contribution

It presents a novel algorithm for representing statistical data as quantum-like amplitudes and demonstrates its effectiveness through numerical simulations.

Findings

Successful visualization of probabilistic data on the Bloch sphere

Clarification of classical and quantum randomness interrelations

Potential applications of quantum formalism in various scientific fields

Abstract

In this paper we present a simple algorithm for representation of statistical data of any origin by complex probability amplitudes. Numerical simulation with Mathematica-6 is performed. The Bloch's sphere is used for visualization of results of numerical simulation. On the one hand, creation of such a quantum-like (QL) representation and its numerical approval is an important step in clarification of extremely complicated interrelation between classical and quantum randomness. On the other hand, it opens new possibilities for application the mathematical formalism of QM in other domains of science.