TURKISH PHYSICAL SOCIETY 41ST INTERNATIONAL PHYSICS CONGRESS, Muğla, Türkiye, 1 - 05 Eylül 2025, ss.104, (Özet Bildiri)
The Quantum Approximate Optimization Algorithm (QAOA) is a hybrid quantum-
classical algorithm designed to solve combinatorial optimization problems and has
recently gained attention in quantum chemistry. In this study, we investigate how
different mixer Hamiltonians affect QAOA’s performance in calculating the potential
energy surface (PES) of the H2 molecule. In this study, the unitary derived from encoding
the H2 electronic Hamiltonian into qubit operators through the Jordan-Wigner
transformation is used as the cost Hamiltonian in QAOA. Based on this setup, we
compare the performance of the standard X mixer and the alternative XY mixer. Our
results analyze how the choice of mixer influences PES accuracy, optimization
convergence, and circuit efficiency. This work provides fruitful insights into optimizing
QAOA for future molecular simulations.