Nonlinear Matrix Decomposition Quantum Simulation Validation Method
Jincheng Zhang
Abstract
This paper presents a novel quantum simulation validation method based on nonlinear matrix decomposition. Traditional matrix decomposition methods often rely on classical computation, limiting their efficiency in validating quantum simulations. We propose a new approach that leverages quantum entanglement to transform the matrix decomposition process into a quantum state measurement, utilizing quantum computing's capabilities for accelerated validation. This method offers improved accuracy and speed compared to existing approaches, potentially accelerating the validation process of complex quantum simulations. The core mechanism involves the manipulation of quantum states to verify the correctness of the simulation.