  Based on our recent paper [arXiv:2206.12176 (2022)], we propose a scalable
heteronuclear architecture of parallel implementation of CNOT gates in arrays
of alkali-metal neutral atoms for quantum information processing. We considered
a scheme where we perform CNOT gates in a parallel manner within the array,
while they are performed sequentially between the pairs of neighboring qubits
by coherently transporting an array of atoms of one atomic species (ancilla
qubits) using an array of mobile optical dipole traps generated by a 2D
acousto-optic deflector (AOD). The atoms of the second atomic species (data
qubits) are kept in the array of static optical dipole traps generated by
spatial light modulator (SLM). The moving ancillas remain in the superposition
of their logical ground states without loss of coherence, while their
transportation paths avoid overlaps with the spatial positions of data atoms.
We numerically optimized the system parameters to achieve the fidelity for
parallelly implemented CNOT gates around $\mathcal{F}=95\%$ for the
experimentally feasible conditions. Our design can be useful for implementation
of surface codes for quantum error correction. Renyi entropy and mutual
information are also investigated to characterize the gate performance.
