# Quantum Bayesianism as the basis of general theory of decision-making

@article{Khrennikov2016QuantumBA, title={Quantum Bayesianism as the basis of general theory of decision-making}, author={Andrei Yu. Khrennikov}, journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2016}, volume={374} }

We discuss the subjective probability interpretation of the quantum-like approach to decision making and more generally to cognition. Our aim is to adopt the subjective probability interpretation of quantum mechanics, quantum Bayesianism (QBism), to serve quantum-like modelling and applications of quantum probability outside of physics. We analyse the classical and quantum probabilistic schemes of probability update, learning and decision-making and emphasize the role of Jeffrey conditioning…

## 38 Citations

Basics of Quantum Theory for Quantum-Like Modeling Information Retrieval

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This chapter contains a brief introduction to the mathematical formalism and axiomatics of quantum mechanics (QM), and the quantum treatment of incompatible observables represented mathematically by noncommuting Hermitian operators.

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A representation theorem is given showing that quantum complete rational preferences are obtained by means of expected utility considerations in the space of Hermitian matrices.

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- Philosophy
- 2020

Questions about how QBism accounts for the fact that instruments must be calibrated before they can be used to `sense' anything, and is the agent `incoherent' if they prefer to use a less precise instrument are provided.

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- GeologyPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2017

Quantum Bayesianism (QBism), one of the recently developed information interpretations of quantum theory, can be used as the interpretational basis for such QP decision-making in geology, geophysics and petroleum projects design and management.

From axiomatics of quantum probability to modelling geological uncertainty and management of intelligent hydrocarbon reservoirs with the theory of open quantum systems

- GeologyPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2018

The process of decision-making about hydrocarbon reservoirs is modelled by using the Gorini–Kossakowski–Sudarshan–Lindblad equation, which describes the evolution of experts' predictions about a geophysical structure.

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