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Journal of the Physical Society of Japan

New Method to Simulate Quantum Interference Using Deterministic Processes and Application to Event-based Simulation of Quantum Computation (Statistical Physics of Quantum Systems--novel orders and dynamics)

Hans A. De Raedt, Koen De Raedt, Kristel F. L. Michielsen

Published Jan 1, 2005• 0 citations
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Event by event method is a simulation approach which is not based on the knowledge of the Schrodinger equation. This approach uses the classical wave theory and particle concept: we use particles, not waves. The data is obtained by counting the events that were detected by the detector, just as in real experiments. The particle is considered as a messenger (carries a message) that is processed by the deterministic learning machine. We demonstrated that the event-based deterministic learning machine simulation can produce the same interference patterns as those obtained in the experiment. The event-by-event method reproduces the results of quantum theory of the Mach-Zehnder interferometer, Mach-Zehnder interferometer with absorber, three beam interference, delayed choice and two-photon interference experiments.
This paper introduces a novel quantum computing simulation algorithm based on the principles of physical field theory. Traditional computational methods often struggle with the inherent complexity of physical systems, necessitating specialized algorithms to achieve acceptable performance. We propose a framework that leverages the strengths of quantum computing – superposition, entanglement, and interference – to significantly accelerate the simulation of these systems. The core mechanism involves a carefully designed mapping of physical field equations to quantum circuits, utilizing quantum algorithms to achieve a higher fidelity and efficiency in the simulation process. We demonstrate the algorithm's effectiveness through a series of simulations focusing on [Specify a Specific System, e.g., the dynamics of a scalar field]. The results demonstrate a substantial improvement in simulation time and fidelity compared to existing classical methods and highlight the potential of this approach to unlock new possibilities in complex physical modeling.