Fidelity Relations in an Array of Neutral Atom Qubits -- Experimental Validation of Control Noise

Noise is a hindering factor for current-era quantum computers. In this study, we experimentally validate the theoretical relationships between control noise and qubit state fidelity. The experiment comprises a 10$\times$10 site optical tweezer array stochastically loaded with single rubidium-85 atoms. A global microwave field is used to manipulate the state of the hyperfine qubits. With precise control of the time-dependent amplitude of the microwave drive, we apply control signals featuring artificial noise. We systematically analyze the impact of various noise profiles on the fidelity distribution of the quantum states. The measured fidelities are compared against theoretical predictions made using the stochastic Schr{\"o}dinger equation. Our results show a good agreement between the experimentally measured and theoretically predicted results. This validation is consequential, as the model provides critical information on noise identification and optimal control protocols in NISQ-era quantum systems.