三模簇线中Arthurs-Kelly读出的条件高斯滤波
Conditional Gaussian filtering by Arthurs--Kelly readout in a three-mode cluster wire
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中文总结 AI 辅助
该研究针对三模簇线，提出用Arthurs-Kelly读出实现协方差依赖的条件高斯滤波，其性能优于传统零差读出，可压缩协方差面积，为测量级高斯滤波提供新方法。
中文摘要 AI 辅助
测量读出对连续变量簇线实现的高斯操作进行编程。对于标准三节点线，动量零差读出会产生具有有限压缩噪声的加性奇偶通道。我们对在校准的无关联Arthurs-Kelly读出作用于一个或两个消耗节点时产生的模式分辨输入-输出协方差变换进行分类。任何有限的Arthurs-Kelly位置记录都会生成一个条件高斯滤波器，其增益和残余协方差依赖于输入协方差项，而非与输入无关的加性高斯通道。记A为Arthurs-Kelly读出，H为零差读出，读出模式选择滤波扇区：AH选择位置，HA选择动量，AA保留两者。层级关系0<τ_AA<min{τ_AH,τ_HA}<1=τ_HH表明，有限的Arthurs-Kelly位置记录会压缩增益传递的协方差面积。我们的结果表明，在校准的无关联Arthurs-Kelly读出下，固定簇图内部可实现协方差敏感的高斯滤波。
英文摘要
Measurement readout programs the Gaussian operation implemented by a continuous-variable cluster wire. For the standard three-node wire, momentum homodyne readout gives an additive parity channel with finite-squeezing noise. We classify the pattern-resolved input--output covariance transformations generated by calibrated uncorrelated Arthurs--Kelly readout on one or both consumed nodes. Any finite Arthurs--Kelly position record produces a conditional Gaussian filter whose gain and residual covariance depend on the input covariance entries, rather than an input-independent additive Gaussian channel. Writing $\mathrm{A}$ for Arthurs--Kelly readout and $\mathrm{H}$ for homodyne readout, the readout pattern selects the filtered sector, with $\mathrm{AH}$ selecting position, $\mathrm{HA}$ selecting momentum, and $\mathrm{AA}$ retaining both. The hierarchy $0 < τ_{\mathrm{AA}} < \min \left\{ τ_{\mathrm{AH}}, τ_{\mathrm{HA}} \right\} < 1 = τ_{\mathrm{HH}}$ shows that finite Arthurs--Kelly position records contract the gain-transferred covariance area. Our results identify calibrated uncorrelated Arthurs--Kelly readout as a measurement-level method for covariance-sensitive Gaussian filtering inside a fixed cluster graph.
