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Quantum-Like Representation Algorithm for Trichotomous Observables

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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.

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Authors and Affiliations

  1. International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, 35195, Växjö, Sweden

    Peter Nyman & Irina Basieva

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  1. Peter Nyman
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  2. Irina Basieva
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Correspondence to Peter Nyman.

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Research fellowship of Swedish Institute (I. Basieva).

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Nyman, P., Basieva, I. Quantum-Like Representation Algorithm for Trichotomous Observables. Int J Theor Phys 50, 3864–3881 (2011). https://doi.org/10.1007/s10773-011-0934-4

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  • DOI: https://doi.org/10.1007/s10773-011-0934-4

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