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| Construction and Research of Infectious Disease Model Based on Quantum Mechanics |
| HE Weiyuan, BIN Sheng, SUN Gengxin
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| College of Computer Science & Technology, Qingdao University, Qingdao 266071, China |
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Abstract Existing infectious disease models are usually based on compartment models and model optimisation is performed by adjusting the number of compartments and transfer paths. However, the finite states delineated by the compartment model often do not adequately reflect the actual states that individuals live in the real world. In this study, we model infectious disease based on quantum mechanics and use quantum superposition states to represent individual states, achieving a more accurate representation of individual states. Firstly, this paper analyses the individual infection process and evolution of the model, and derives the basic reproduction number and disease-free equilibrium point of the model. Secondly, the model simulation is carried out on a quantum circuit, and the parameter sensitivity of the model is analysed and the reasonableness of the model is verified. The simulation results show that the predictions of the model are consistent with the general law of virus propagation and can be implemented to simulate the structure of the compartment model. Finally, the applicability of the model is further verified by simulating real COVID-19 epidemic data.
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Published: 15 September 2026
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