  We demonstrate mid-circuit measurements in a neutral atom array by shelving
data qubits in protected hyperfine-Zeeman sub-states while non-destructively
measuring an ancilla qubit. Measurement fidelity was enhanced using microwave
repumping of the ancilla during the measurement. The coherence of the shelved
data qubits was extended during the ancilla readout with dynamical decoupling
pulses, after which the data qubits are returned to mf = 0 computational basis
states. We demonstrate that the quantum state of the data qubits is well
preserved up to a constant phase shift with a state preparation and measurement
(SPAM) corrected process fidelity of F = 97.0(5)%. The measurement fidelity on
the ancilla qubit after correction for state preparation errors is F = 94.9(8)%
and F = 95.3(1.1)% for |0> and |1> qubit states, respectively. We discuss
extending this technique to repetitive quantum error correction using
quadrupole recooling and microwave-based quantum state resetting.
