Correlations in a system of classical-like coins simulating spin-1/2 states in the probability representation of quantum mechanics

An analog of classical “hidden variables” for qubit states is presented. The states of qubit (two-level atom, spin-1/2 particle) are mapped onto the states of three classical-like coins. The bijective map of the states corresponds to the presence of correlations of random classical-like variables as...

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Veröffentlicht in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2019, Vol.73 (1), p.1-5, Article 10
Hauptverfasser: Chernega, Vladimir N., Man’ko, Olga V., Man’ko, Vladimir I.
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Man’ko, Vladimir I.
description An analog of classical “hidden variables” for qubit states is presented. The states of qubit (two-level atom, spin-1/2 particle) are mapped onto the states of three classical-like coins. The bijective map of the states corresponds to the presence of correlations of random classical-like variables associated with the coin positions “up” or “down” and the observables are mapped onto quantum observables described by Hermitian matrices. The connection of the classical-coin statistics with the statistical properties of qubits is found. Graphical abstract
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subjects Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Coins
Molecular
Optical and Plasma Physics
Particle spin
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum mechanics
Quantum Physics
Quantum theory
Qubits (quantum computing)
Random variables
Regular Article
Spectroscopy/Spectrometry
Spintronics
Statistical analysis
Topical Issue: Quantum Correlations
title Correlations in a system of classical-like coins simulating spin-1/2 states in the probability representation of quantum mechanics
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