Quantum Simulation of Complex Systems Based on Quantum Demixing
Jincheng Zhang
Abstract
This paper presents a novel approach to simulating complex systems by leveraging the principles of quantum demixing, commonly known as quantum decoherence. Traditional simulations of complex systems, particularly those involving many interacting quantum entities, often face significant computational challenges due to the exponential scaling of the Hilbert space. This work proposes a method to mitigate this issue by strategically employing quantum decoherence to reduce the effective complexity of the system. The core idea is to identify and eliminate redundant quantum information within the system, effectively isolating the relevant degrees of freedom necessary for calculating specific target variables. We outline a framework for implementing this approach, utilizing quantum algorithms designed for the reduced, demixed system. The theoretical analysis demonstrates the potential for significant improvements in simulation efficiency and scalability. Ultimately, this research contributes a new paradigm for simulating complex quantum systems, offering a pathway towards tackling problems currently intractable with classical methods.