Multitarget Rydberg gates via spatial blockade engineering

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 C ( Z ⊗ N ) gates on a single-species neutral-atom platform that requires no extra control and has gate durations comparable to standard 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 C Z Z and C Z Z Z 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 ( C Z Z ) and N = 3 targets ( C Z Z Z ) ; for larger , 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.