We propose a method for controlling the quantum state of ultracold atoms in an optical lattice by using current atom manipulation techniques, which can generate high-fidelity entanglement resources. We utilize higher Wannier orbitals as a controllable and accessible environment, and then realize a tunable Ising interaction between atoms in the lowest orbital to generate multipartite entangled cluster states. We can enhance the fidelity by employing a post-selection scheme based on spectroscopic measurements of states in the environment. Precise numerical simulations using realistic parameters suggest that our method offers significant advantages for high-fidelity entanglement generation toward scalable measurement-based quantum computation.
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