发表机构
Quantum Advanced Research Center, QuARC-CSIC; Instituto de Física Fundamental, IFF-CSIC; Department of Physics, Shanghai University; Instituto de Ciencia de Materiales de Madrid ICMM-CSIC（量子先进研究中心; 基础物理研究所; 上海大学物理系; 马德里材料科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出波导QED量子储层，通过耦合几何控制相干延迟反馈，实现可工程化的任务相关记忆，并在NARMA预测中验证其有效性。
AI 中文摘要
储层计算不仅需要长时记忆，还需要记忆分布在给定任务相关的时间尺度上。然而，在大多数量子储层计算架构中，记忆轮廓源于内在动力学，无法直接工程化。本文提出了一种波导量子电动力学（QED）量子储层，其中相干记忆返回由耦合几何结构控制。该储层由一个受驱动的Kerr非线性谐振器组成，该谐振器在空间分离的点上与一维波导耦合。一个未被测量的传播场携带过去输入的信息，并在有限传播时间后相干地返回谐振器，形成无需中间测量或经典再注入的非马尔可夫反馈通道。延迟分辨的记忆基准揭示了两种互补功能：波导传播决定过去信息何时返回，而Kerr动力学将返回场转换为可通过线性读出访问的非线性时间特征。NARMA-$n$预测表明，最优反馈延迟随任务阶数系统性地移动，并近似跟踪显式输入乘积滞后。这些结果确立了相干延迟反馈作为在量子储层计算中工程化任务相关记忆的机制。
英文摘要
Reservoir computing requires not only long memory, but also memory distributed over the timescales relevant to a given task. In most quantum reservoir computing architectures, however, the memory profile emerges from intrinsic dynamics and cannot be directly engineered. Here we introduce a waveguide-QED quantum reservoir in which coherent memory return is controlled by the coupling geometry. The reservoir consists of a driven Kerr-nonlinear resonator coupled to a one-dimensional waveguide at spatially separated points. An unmeasured propagating field carries information about past inputs and coherently returns it to the resonator after a finite propagation time, forming a non-Markovian feedback channel without intermediate measurement or classical reinjection. Delay-resolved memory benchmarks reveal two complementary functions: waveguide propagation determines when past information returns, whereas Kerr dynamics convert the returned field into nonlinear temporal features accessible through a linear readout. NARMA-$n$ prediction shows that the optimal feedback delay shifts systematically with task order and approximately tracks the explicit input-product lag. These results establish coherent delayed feedback as a mechanism for engineering task-relevant memory in quantum reservoir computing.
