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基于Barankin界最小化的里德伯量子阵列物理感知功率优化

Physics-Aware Power Optimization for Rydberg Quantum Arrays via Barankin Bound Minimization

Yixiao Li, Jiayi Zhang, Bokai Xu, Yin Zhang

arXiv 2610.09421首次发表:更新:

发表机构

Beijing Jiaotong University(北京交通大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

针对里德伯量子阵列在低信噪比下的阈值崩溃问题,提出基于随机Barankin界最小化的物理感知功率优化框架,结合EIT读出模型和MM算法,提升太赫兹DOA估计的可靠性。

AI 中文摘要

里德伯原子量子均匀线性阵列(RAQ-ULA)为太赫兹(THz)波束对准中的到达方向(DOA)估计提供了一种有前景的传感架构。现有研究通常将量子接收器建模为宏观线性模块,并依赖克拉美-罗界(CRB)进行阵列评估或功率分配。然而,作为局部方差界,CRB无法捕捉低信噪比(SNR)区域中由空间模糊性引起的阈值崩溃。本文提出了一种基于随机Barankin界最小化的RAQ-ULA物理感知功率优化框架。我们在低SNR可积性条件下推导了闭式随机多点Barankin界(BRB)矩阵,并引入反正弦先验校准以表征有界域误差饱和。通过结合Lindblad引导的电磁感应透明(EIT)读出模型,我们将模糊敏感的BRB与光子散粒噪声、功率展宽和激光拉比频率耦合。进一步推导了CRB优化的解析基线,以揭示基于局部SNR分配的局限性。为解决由此产生的非凸问题,我们开发了一种带有Lipschitz二次代理的回溯最大化-最小化(MM)算法。该算法确保单调递减并收敛到可行的平稳点。仿真表明,所提框架比CRB更准确地预测阈值崩溃,并在严重THz衰减下扩大了可靠工作区域。

英文摘要

Rydberg-atom quantum uniform linear arrays (RAQ-ULAs) offer a promising sensing architecture for direction-of-arrival (DOA) estimation in terahertz (THz) beam alignment. Existing studies often model the quantum receiver as a macroscopic linear block and rely on the Cramer-Rao bound (CRB) for array evaluation or power allocation. However, as a local variance bound, the CRB cannot capture threshold breakdown caused by spatial ambiguities in low-signal-to-noise-ratio (SNR) regimes. This paper proposes a physics-aware power optimization framework for RAQ-ULAs based on stochastic Barankin bound minimization. We derive a closed-form stochastic multipoint Barankin bound (BRB) matrix under a low-SNR integrability condition and introduce an arcsine-prior calibration to characterize bounded-domain error saturation. By incorporating a Lindblad-guided electromagnetically induced transparency (EIT) readout model, we couple the ambiguity-sensitive BRB with photon shot noise, power broadening, and laser Rabi frequencies. A CRB-optimized analytical baseline is further derived to expose the limitation of local-SNR-based allocation. To solve the resulting nonconvex problem, we develop a backtracking majorization-minimization (MM) algorithm with a Lipschitz-based quadratic surrogate. The algorithm ensures monotonic decrease and converges to a feasible stationary point. Simulations show that the proposed framework predicts threshold breakdown more accurately than the CRB and enlarges the reliable operating region under severe THz attenuation.

Comments7 pages, 5 figures, IEEE GlobeCom 2026

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