一个原子加镜子就能实现通用计算，只需调测量方式即可任意提升精度。
A Single Atom in Front of a Mirror is a Universal Reservoir Computer
- 用单个原子和镜子构成最小量子系统，通过调节测量实现通用逼近。
- 线性极限下可逼近任意记忆衰减映射，精度由操作点速率常数决定。
- 适合研究量子计算基础与小型化智能系统设计的学者参考。
在储备池计算中，通用逼近通常依赖一类储备池。我们证明，单一储备池也可实现通用性，基于一个原子与镜子组成的极简系统。在线性转换器极限下，该储备池可在可验证条件下，通用逼近具有记忆衰减特性的映射，其速率常数由工作点决定。通过调整测量设置，任意目标精度均可实现。证明给出了具体方案：针对给定精度，明确所需物理资源与谐振模态数量。增加可访问模态数可扩大可匹配核空间，且不降低能力。超越线性极限后，原子饱和效应替代高阶多项式读出，设备在真实任务上表现媲美经典基线。结果展示了最小量子系统中的通用性实例。
原文摘要 · Abstract (English)
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.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品；中文卡片由大模型生成，请以原文为准。