AI 中文总结
针对量子传感中微波脉冲产生的伪影问题，提出基于哈达玛矩阵的确定性相位设计框架HSC，其消除了相位随机化协议的统计方差，对控制错误鲁棒性更优，为高分辨率纳米级核磁共振提供硬件友好方案。
AI 中文摘要
动力学解耦序列对纳米级量子传感至关重要，但微波脉冲的有限持续时间会产生虚假响应。尽管相位随机化（PR）协议可抑制这些伪影，但它依赖概率平均，会引入固有的统计方差，需要过长的序列长度和严格的硬件能力来生成真正的随机相位。本文提出哈达玛传感通道（HSC），一种基于哈达玛矩阵的确定性相位设计框架。HSC通过使用有限组正交相位模式精确且确定地抵消虚假信号，完全消除了PR的统计方差。模拟证实，HSC与PR的理想抑制效果相当，但对控制错误表现出更优的鲁棒性。HSC为可靠的高分辨率纳米级核磁共振提供了数学上精确且硬件友好的解决方案。
英文摘要
Dynamical decoupling sequences are essential for nanoscale quantum sensing, but the finite duration of microwave pulses generates spurious responses. While phase randomization (PR) protocol can suppress these artifacts, they rely on probabilistic averaging. This introduces an inherent statistical variance that demands excessive sequence lengths and stringent hardware capabilities for true random phase generation. Here, we propose Hadamard sensing channel (HSC), a deterministic phase-design framework based on Hadamard matrices. HSC completely eliminates the statistical variance of PR by exactly and deterministically canceling spurious signals using a finite set of orthogonal phase patterns. Simulations confirm that HSC matches the ideal suppression of PR but exhibits superior robustness against control errors. HSC offers a mathematically exact and hardware-friendly solution for reliable high-resolution nanoscale nuclear magnetic resonance.
Comments7 pages, 3 figures
