Quantum-like Probabilistic Models outside Physics

Details Quantum-like Probabilistic Models outside Physics Quantum-like Probabilistic Models outside Physics

2007-02-28

arxiv.org/abs/physics/0702250v2

Physics

General Physics

Completed by references on "firefly in the box" example of macroscopic quantum-like behavior, Foulis' paper

Scientific paper

We present a quantum-like (QL) model in that contexts (complexes of e.g. mental, social, biological, economic or even political conditions) are represented by complex probability amplitudes. This approach gives the possibility to apply the mathematical quantum formalism to probabilities induced in any domain of science. In our model quantum randomness appears not as irreducible randomness (as it is commonly accepted in conventional quantum mechanics, e.g., by von Neumann and Dirac), but as a consequence of obtaining incomplete information about a system. We pay main attention to the QL description of processing of incomplete information. Our QL model can be useful in cognitive, social and political sciences as well as economics and artificial intelligence. In this paper we consider in a more detail one special application -- QL modeling of brain's functioning. The brain is modeled as a QL-computer.

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