发表机构
Wyant College of Optical Sciences, University of Arizona; Department of Physics, University of Arizona; School of Electrical Engineering and Telecommunications, University of New South Wales（亚利桑那大学怀恩特光学科学学院; 亚利桑那大学物理系; 新南威尔士大学电气工程与电信学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出镜前单个原子构成的极简量子装置可作为通用储备池计算机，其线性极限下能实现衰减记忆映射的通用近似，超出线性极限时可在实际任务中与经典基线协同运行。
AI 中文摘要
通用近似在储备池计算中通常与一类储备池相关联。我们表明，考虑镜前单个原子的极简装置，通用性可与单个储备池相关联。在其线性换能器极限下，我们的储备池是具有衰减记忆映射的通用近似器，适用于一类可检验条件，且在工作点测得速率常数。给定储备池可通过改变测量设置达到任意精度。该证明给出了明确方案：针对目标精度，规定了所需物理资源和谐振器模式数量。增加可访问模式数量会扩大可匹配核跨度，且不会降低能力。超出线性极限时，原子的饱和替代了高阶多项式读出，该装置可在实际任务中与经典基线协同运行。我们的结果突出了极简量子装置实现通用性的一个实例。
英文摘要
Universal approximation in reservoir computing is typically associated with a class of reservoirs. We show that universality can be associated with a single reservoir, considering a minimal setup of a single atom in front of a mirror. In its linear-transducer limit, our reservoir is a universal approximator of fading-memory maps under an operating class of checkable conditions, with a rate constant measured at the operating point. A given reservoir can reach arbitrary accuracy by changing measurement settings. The proof gives an explicit recipe: for a target accuracy, it specifies the required physical resources and resonator modes. Enlarging the number of accessible modes increases the matchable kernel span without reducing capability. Beyond the linear limit, the atom's saturation replaces high-order polynomial readouts, and the device operates on real-world tasks alongside classical baselines. Our results highlight an example of universality with a minimal quantum setup.
