# Scheme of thinking quantum systems

**Authors:** V. I. Yukalov, D. Sornette  
**arXiv:** [0909.1186](https://arxiv.org/abs/0909.1186)  
**Date:** 2009-09-07  
**Summary page:** https://www.summarizepaper.com/en/arxiv-id/0909.1186v1/

## Key points

- General approach to quantum decision procedures
- Applications in quantum information processing, quantum computing, artificial quantum intelligence, and analyzing human decision processes
- Proposal of an active quantum system with its own strategic state
- Use of algebra of probability operators to model decision-making processes
- Introduction of a scheme for practically implementing decision procedures using "thinking" quantum systems
- Potential realizations of these systems including spin lattices, magnetic molecules, cold atoms in optical lattices, ensembles of quantum dots or multilevel atomic systems interacting with electromagnetic fields
- Contribution to understanding the utilization of quantum systems for decision-making processes
- Insights into theoretical and practical aspects of utilizing quantum properties for intelligent decision making
- Implications for various domains and potential for solving complex problems efficiently through harnessing the power of quantum mechanics.

## Summary

In their paper titled "Scheme of thinking quantum systems," authors V. I. Yukalov and D. Sornette present a general approach to quantum decision procedures. This approach has applications in various fields such as quantum information processing, quantum computing, the creation of artificial quantum intelligence, and analyzing decision processes of human decision makers. The authors propose considering an active quantum system that possesses its own strategic state. They argue that processing information by such a system is analogous to the cognitive processes associated with decision making by humans. To model this, they use the algebra of probability operators which represents the possible options available to the decision maker and plays a role similar to the algebra of observables in the quantum theory of measurements. The paper also introduces a scheme for practically implementing decision procedures using "thinking" quantum systems. The authors suggest several potential realizations of these systems including spin lattices, systems of magnetic molecules, cold atoms trapped in optical lattices, ensembles of quantum dots or multilevel atomic systems interacting with electromagnetic fields. Overall, this paper contributes to our understanding of how quantum systems can be utilized for decision-making processes and provides insights into both theoretical and practical aspects of utilizing quantum properties for intelligent decision making. The proposed approach has implications for various domains and could lead to new ways to solve complex problems efficiently and effectively through harnessing the power of quantum mechanics.