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 |
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creator | Chernega, Vladimir N. Man’ko, Olga V. 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.
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doi_str_mv | 10.1140/epjd/e2018-90487-9 |
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Graphical abstract</description><subject>Applications of Nonlinear Dynamics and Chaos Theory</subject><subject>Atomic</subject><subject>Coins</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Particle spin</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Information Technology</subject><subject>Quantum mechanics</subject><subject>Quantum Physics</subject><subject>Quantum theory</subject><subject>Qubits (quantum computing)</subject><subject>Random variables</subject><subject>Regular Article</subject><subject>Spectroscopy/Spectrometry</subject><subject>Spintronics</subject><subject>Statistical analysis</subject><subject>Topical Issue: Quantum Correlations</subject><issn>1434-6060</issn><issn>1434-6079</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kEtPwzAQhCMEEqXwBzhZ4hzqV5P6iCpeUiUucLYcd926JE7qdQ698stJUwQ3TrtafTOzmiy7ZfSeMUln0O3WM-CULXJF5aLM1Vk2YVLIvKClOv_dC3qZXSHuKKV8LotJ9rVsY4TaJN8GJD4QQ_CACRrSOmJrg-itqfPafwKxrR8Y9E1_5MOGYOdDzmacYDIJRnnaAuliW5nK1z4dSIQuAkJIY8LRdN-bkPqGNGC3JniL19mFMzXCzc-cZh9Pj-_Ll3z19vy6fFjlVjCV8krSSikqnBSFkguqDKhSiuHIC1fSIZGBmwvGS2fWylq5rihXTpXGKSatFNPs7uQ7_LfvAZPetX0MQ6TmrCiFpHxRDhQ_UTa2iBGc7qJvTDxoRvWxa33sWo9d67FrrQaROIlwgMMG4p_1P6pvIt-GOw</recordid><startdate>2019</startdate><enddate>2019</enddate><creator>Chernega, Vladimir N.</creator><creator>Man’ko, Olga V.</creator><creator>Man’ko, Vladimir I.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2019</creationdate><title>Correlations in a system of classical-like coins simulating spin-1/2 states in the probability representation of quantum mechanics</title><author>Chernega, Vladimir N. ; Man’ko, Olga V. ; Man’ko, Vladimir I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-b40b9903f43694809ae97430b926f70bab1ef53127fad9cc4db029f97af914c43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Applications of Nonlinear Dynamics and Chaos Theory</topic><topic>Atomic</topic><topic>Coins</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Particle spin</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Information Technology</topic><topic>Quantum mechanics</topic><topic>Quantum Physics</topic><topic>Quantum theory</topic><topic>Qubits (quantum computing)</topic><topic>Random variables</topic><topic>Regular Article</topic><topic>Spectroscopy/Spectrometry</topic><topic>Spintronics</topic><topic>Statistical analysis</topic><topic>Topical Issue: Quantum Correlations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chernega, Vladimir N.</creatorcontrib><creatorcontrib>Man’ko, Olga V.</creatorcontrib><creatorcontrib>Man’ko, Vladimir I.</creatorcontrib><collection>CrossRef</collection><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chernega, Vladimir N.</au><au>Man’ko, Olga V.</au><au>Man’ko, Vladimir I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Correlations in a system of classical-like coins simulating spin-1/2 states in the probability representation of quantum mechanics</atitle><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle><stitle>Eur. Phys. J. D</stitle><date>2019</date><risdate>2019</risdate><volume>73</volume><issue>1</issue><spage>1</spage><epage>5</epage><pages>1-5</pages><artnum>10</artnum><issn>1434-6060</issn><eissn>1434-6079</eissn><abstract>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.
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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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