AI 中文总结
该研究针对量子纠错中稳定器读出的多量子比特耦合瓶颈，优化了基于EIT和里德堡阻塞的异核多目标C¹NOTᵏ门，实现了高保真度，为低深度稳定器读出提供了实用构建模块。
AI 中文摘要
需要多量子比特耦合的高效稳定器读出是量子纠错的核心瓶颈。一种可行方法是在一个辅助量子比特与分配给稳定器U测量的数据量子比特之间直接实现受控-U门。我们系统分析了Müller等人提出的、通过电磁感应透明（EIT）和里德堡阻塞机制实现的原生多目标C¹NOTᵏ门。采用微观开放系统模型，我们分析了该门随目标数k的缩放关系，识别出自发辐射、多普勒退相、目标原子间耦合及技术噪声是主要误差来源。我们进一步结合双光子STIRAP控制、异核相互作用工程和波形优化对协议进行优化。在所有主要噪声源和实际实验参数存在的情况下，我们优化的异核协议达到的保真度为：C¹NOT¹门98.03%，C¹NOT⁴门96.54%。这些结果表明，基于EIT的多目标门可作为低深度稳定器读出的实用构建模块。
英文摘要
Efficient stabilizer readout requiring multi-qubit coupling is a core bottleneck for quantum error correction. One feasible method is direct implementation of the controlled-U gate between one ancilla qubit and the data qubits assigned to stabilizer U measurements. We systematically analyze the native multi-target $\mathrm{C}^1\mathrm{NOT}^k$ gates proposed by Müller et al., which is realized via electromagnetically induced transparency (EIT) and Rydberg blockade mechanisms. Using a microscopic open-system model, we analyze the gate's scaling with target number k and identify spontaneous emission, Doppler dephasing, target atom inter-coupling, and technical noise as major error contributions. We further optimize the protocol combining two-photon STIRAP control, heteronuclear interaction engineering, and waveform optimization. Our optimized heteronuclear protocol reaches fidelities of 98.03% ($\mathrm{C}^1\mathrm{NOT}^{1}$) and 96.54% ($\mathrm{C}^1\mathrm{NOT}^{4}$), in the presence of all primary noise sources and realistic experimental parameters. These results demonstrate that EIT-based multi-target gates serve as a practical building block for low-depth stabilizer readout.
Comments18 pages, 6 figures
