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Quantum-Like Representation Algorithm for Trichotomous Observables.

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Title: Quantum-Like Representation Algorithm for Trichotomous Observables.
Authors: Nyman, Peter1 peter.nyman@lnu.se, Basieva, Irina1
Source: International Journal of Theoretical Physics. Dec2011, Vol. 50 Issue 12, p3864-3881. 18p.
Subjects: Quantum theory, Functional representation, Algorithms, Statistics, Acquisition of data, Hyperbolic differential equations, Trigonometric functions
Abstract: We study the problem of representing statistical data (of any origin) by a complex probability amplitude. This paper is devoted to representation of data collected from measurements of two trichotomous observables. The complexity of the problem eventually increases compared to the case of dichotomous observables. We see that only special statistical data (satisfying a number of nonlinear constraints) have the quantum-like representation. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: We study the problem of representing statistical data (of any origin) by a complex probability amplitude. This paper is devoted to representation of data collected from measurements of two trichotomous observables. The complexity of the problem eventually increases compared to the case of dichotomous observables. We see that only special statistical data (satisfying a number of nonlinear constraints) have the quantum-like representation. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of International Journal of Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Algorithms
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      – SubjectFull: Statistics
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      – SubjectFull: Acquisition of data
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      – SubjectFull: Hyperbolic differential equations
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      – SubjectFull: Trigonometric functions
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      – TitleFull: Quantum-Like Representation Algorithm for Trichotomous Observables.
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