Title: Hybrid Quantum-Classical Simulation for Quantum Field Theory
Jincheng Zhang
Abstract
Quantum field theory (QFT) encompasses a vast and complex landscape of physical phenomena, making accurate simulation a significant challenge. Classical computers struggle to handle the exponential scaling of the computational cost with increasing system size, limiting the exploration of these theories. Hybrid quantum-classical simulation offers a promising path toward overcoming these limitations by intelligently leveraging the strengths of both paradigms. This research investigates a novel hybrid solver, the 'Quantum-Classical Hybrid Solver,' designed to efficiently simulate complex QFTs. We demonstrate the method's ability to surpass classical simulation capabilities in certain regimes while maintaining computational efficiency, offering a significant advancement in the field. The core mechanism centers around a dynamic switching between classical and quantum techniques, tailored to the specific problem at hand. This paper details the design, implementation, and preliminary results of the Hybrid Quantum-Classical Solver, highlighting its potential for accelerating QFT research.