电荷选择规则确定压缩光 reservoir computer 可计算及可负担的内容
A charge selection rule fixes what a squeezed-light reservoir computer can compute and afford
AI总结：
研究提出电荷选择规则，揭示压缩光 reservoir computer 的可计算内容与成本由探测器而非光学系统决定，验证了其在位移编码控制任务中的精度损失符合电荷代数预测。
AI中文摘要：
读取光学量子 reservoir 的成本随特征阶数呈超指数增长：其可负担的内容由探测器而非光学系统决定。对于在参数泵相位中编码数据的 reservoir，一条守恒定律确定了可读内容及读取成本：成对光子交换守恒整数相位电荷；在输入掩码集合中，阶数-D 读出恰好能达到最多 D 个单位电荷核的组合；对于弱压缩族的 fading-memory 泛函，一阶零差读出具有通用性，且每次测量的成本随精度呈多项式增长；在固定压缩下，任何有限阶数都无法覆盖所有扇区，仅能达到可计算的距离。非线性性存在于光学系统而非探测器中，探测器的每 shot 方差在各阶数下均固定。在一个硬件忠实的数字孪生系统（未构建实际设备）中，该规则清晰可见：在开放 RF 语料库上，相同光子数下位移编码的控制会损失 17.7 个精度点，这与电荷代数的预测一致。
英文摘要：
Reading an optical quantum reservoir costs repetitions growing super-exponentially with feature order: what it can afford is set by its detector, not its optics. For reservoirs encoding data in a parametric pump's phase, one conservation law fixes what is readable and what it costs. Pairwise photon exchange conserves an integer phase charge: across an ensemble of input masks, order-D readout reaches exactly the assemblies of at most D unit-charge kernels; degree-one homodyne readout is universal for fading-memory functionals along weak-squeezing families, at shot cost polynomial in accuracy; and at fixed squeezing no finite degree reaches every sector, at a computable distance. Nonlinearity sits in the optics, not the detector, whose per-shot variance is fixed at every order. In a hardware-faithful digital twin-no device was built-the rule is visible: on an open RF corpus a displacement-encoded control at identical photon number loses 17.7 accuracy points, as the charge algebra predicts.
