Quantum Coherent Systems for Ground-State Problems
Yunyan Lee, Rebbecca TY Thien, Ian R. Petersen, Daoyi Dong · 2025
This paper offers a perspective on solving groundstate problems in quantum chemistry using a quantum coherent system. Typically, such issues are addressed with Variational Quantum Algorithms (VQAs), which rely on classical optimization to update the parameters iteratively. Using the Quantum Stochastic Differential Equations (QSDEs) framework, we design a quantum system that evolves toward a steady-state solution corresponding to the ground state of the Hamiltonian. Unlike VQAs, this approach eliminates the reliance on classical optimization. Moreover, our method naturally expresses Hamiltonians in terms of annihilation and creation operators, solving the problem directly without requiring a transformation into the Ising model. This approach is further validated in our numerical simulations, which demonstrate the feasibility of the QSDE-based approach, providing a promising solution for ground-state preparation.