 The variational preparation of complex quantum states using the Quantum Approximate Optimization Algorithm, QAOA, has been shown to be a promising application of quantum computers. However, when the target Hamiltonian does not have translational symmetry, such as when it is open boundary condition, OBC, or random, the QAOA can become less efficient. To address this issue, researchers have proposed a generalized QAOA assisted by parameterized resource Hamiltonian, PAH, QAOA. This method allows for more efficient state preparation even when there is no translational symmetry. Additionally, they have designed a low-depth quantum circuit beyond one-dimensional geometry to generate gigahertz states with perfect fidelity. Finally, they have experimentally realized the proposed scheme for generating gigahertz states on ride-bug-dressed atoms. This article was authored by Tsinghang Sun, Yongyi Wang, Jian Kui, and others. We are article.tv, links in the description below.