Abstract

Quantum state preparation is crucial in quantum computing for various applications, notably in quantum simulation where a quantum state must represent the simulated system. This study unveils the multi-Split-Steps Quantum Walk (multi-SSQW), an advanced simulation algorithm using parameterized quantum circuits (PQC) and a variational solver to manage complex probability distributions. Enhanced from the traditional Split-Steps Quantum Walk (SSQW) to include multi-agent decision-making, the multi-SSQW is adept at financial market modeling. It leverages quantum computation to accurately model intricate financial distributions and scenarios, offering key insights for financial analysis and strategic decisions. The algorithm’s flexibility, reliable convergence, and rapid computation make it a powerful tool for fast-paced financial market predictions.