Quantum-like representation algorithm for trichotomous observables

Abstract

We study the problem of representation of 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 increased comparing to with the case of dichotomous observables. We see that only special statistical data (satisfying s number of nonlinear constraints) have the quantum--like representation.

One of the authors, Irina Basieva, is supported by Swedish Institute, post-doc fellowship

References in corpus (3)

• Three Slit Experiments and the Structure of Quantum Theory
• Testing Born's Rule in Quantum Mechanics with a Triple Slit Experiment
• On consistency of the quantum-like representation algorithm

Cited by in corpus (8)

• Bell as the Copernicus of Probability
• External observer reflections on QBism
• On hyperbolic interferences in the quantum--like representation algorithm for the case of triple-valued observables
• An evidential Markov decision making model
• The cognitive triple-slit experiment
• The inverse Born problem in contextual probability theories: quantum spin and continuous random variables
• On non-commutativity in quantum theory (I): from classical to quantum probability
• A quantum dynamic belief model to explain the interference effects of categorization on decision making