  Digital-analog quantum computing (DAQC) combines digital gates with analog
operations, offering an alternative paradigm for universal quantum computation.
This approach leverages the higher fidelities of analog operations and the
flexibility of local single-qubit gates. In this work, we propose a quantum
genetic algorithm within the DAQC framework using a Rydberg atom emulator. The
algorithm employs single-qubit operations in the digital domain and a global
driving interaction based on the Rydberg Hamiltonian in the analog domain. We
evaluate the algorithm performance by estimating the ground-state energy of
Hamiltonians, with a focus on molecules such as $\rm H_2$, $\rm LiH$ and $\rm
BeH_2$. Our results show energy estimations with less than 1% error and state
overlaps nearing 1, with computation times ranging from a few minutes for $\rm
H_2$ (2-qubit circuits) to one to two days for $\rm LiH$ and $\rm BeH_2$
(6-qubit circuits). The gate fidelities of global analog operations further
underscore DAQC as a promising quantum computing strategy in the NISQ era.
