Open Systems, Quantum Probability, and Logic for Quantum-like Modeling in Biology, Cognition, and Decision-Making

The aim of this review is to highlight the possibility of applying the mathematical formalism and methodology of quantum theory to model behavior of complex biosystems, from genomes and proteins to animals, humans, and ecological and social systems. Such models are known as quantum-like, and they sh...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2023-06, Vol.25 (6), p.886
Main Author: Khrennikov, Andrei
Format: Article
Language:English
Subjects:
Analysis
Animal behavior
Atoms
Biological models (mathematics)
Biology
Book publishing
Calculus
Cognition
Cognition & reasoning
Data processing
Decision making
Eigenvalues
Hilbert space
Information management
Information processing
Information theory
Matematik
Mathematical models
Mathematical psychology
Mathematics
open quantum systems
Open systems
Poe, Edgar Allan (1809-1849)
Probability
psychology
Quantitative psychology
quantum logic and probability
Quantum phenomena
Quantum physics
Quantum theory
Review
System theory
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Summary:The aim of this review is to highlight the possibility of applying the mathematical formalism and methodology of quantum theory to model behavior of complex biosystems, from genomes and proteins to animals, humans, and ecological and social systems. Such models are known as quantum-like, and they should be distinguished from genuine quantum physical modeling of biological phenomena. One of the distinguishing features of quantum-like models is their applicability to macroscopic biosystems or, to be more precise, to information processing in them. Quantum-like modeling has its basis in quantum information theory, and it can be considered one of the fruits of the quantum information revolution. Since any isolated biosystem is dead, modeling of biological as well as mental processes should be based on the theory of open systems in its most general form-the theory of open quantum systems. In this review, we explain its applications to biology and cognition, especially theory of quantum instruments and the quantum master equation. We mention the possible interpretations of the basic entities of quantum-like models with special interest given to QBism, as it may be the most useful interpretation.
ISSN:1099-4300
1099-4300
DOI:10.3390/e25060886