Multitarget gates offer the potential to reduce gate depth in syndrome extraction for quantum error correction. Although neutral-atom quantum computers have demonstrated native multiqubit gates, existing approaches that avoid additional control or multiple atomic species have been limited to single-target gates. We propose single-control multitarget $\mathrm{C}\left(Z^{\otimes N}\right)$ gates on a single-species neutral-atom platform that requires no extra control and has gate durations comparable to standard $\mathrm{C}Z$ gates. Our approach leverages tailored interatomic distances to create an asymmetric blockade between the control and target atoms. Using a graphics processing unit-accelerated pulse synthesis protocol, we design smooth control pulses for $\mathrm{C}ZZ$ and $\mathrm{C}ZZZ$ gates, achieving fidelities of up to $99.55\%$ and $99.24\%$, respectively, even in the presence of simulated atom-placement errors and Rydberg-state decay. Our approach is most effective for $N=2$ $\left(\mathrm{C}ZZ\right)$ and $N=3$ targets $\left(\mathrm{C}ZZZ\right)$; for larger N, increasing spatial crowding of the targets introduces significant challenges for maintaining the required blockade asymmetry. This work presents a practical path to implementing low-overhead multitarget gates in single-species neutral-atom systems, significantly reducing the resource overhead for syndrome extraction. To motivate the impact of these gates, we apply a greedy scheduling algorithm and we demonstrate that our proposed gates can reduce the number of atom reconfiguration costs by up to 50% for color code syndrome extraction of code distances greater than 5.

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• Quantum computation
• Quantum control
• Quantum error correction