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A Quantum Walk Model for Idea Propagation in Social Network and Group Decision Making.
Qizi Zhang1, Jerome Busemeyer2
1Department of Mechanical & Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO 65409-0050, USA.
Entropy (Basel, Switzerland)
|June 2, 2021
Summary
This study introduces a quantum walk model to simulate idea propagation and group decision-making. The model explores how agent compliance and network structure affect decision time and outcomes.
Area of Science:
- Quantum Computing
- Network Science
- Social Dynamics
Background:
- Understanding idea propagation and group decision-making is crucial in social network analysis.
- Existing models often struggle to capture the nuances of asymmetric influence between agents.
Purpose of the Study:
- To propose a novel quantum walk model for simulating idea propagation and agreement formation in networks.
- To investigate the impact of agent compliance and network topology (line and ring graphs) on decision dynamics.
Main Methods:
- Utilizing quantum computing principles, specifically control-U gates.
- Employing a quantum walk where the network state acts as a controller and its mirrored state as a target.
- Defining the quantum walk state as a tensor product of original and mirror states to model asymmetric influence.
Main Results:
- The quantum walk model effectively simulates asymmetric influence between agents.
- The study analyzes the dynamics of idea propagation and agreement formation based on network structure and agent compliance.
Conclusions:
- The proposed quantum walk model offers a powerful framework for studying complex social dynamics in networks.
- This approach provides insights into how network structure and individual behavior influence collective decision-making processes.
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