AI 中文总结
该研究探讨了相位敏感高斯控制与黑洞灰体散射的组合序对量子可区分性的影响，通过精确求解高斯态层面的玻色子问题得到红外指数转移定律，其结果可应用于相关渐近端口组合与选模实现。
AI 中文摘要
我们研究在黑洞灰体散射之前或之后施加相位敏感高斯控制时，组合序如何成为可操作区分的。散射过程在经过校准的渐近模式端口上被建模为玻色子衰减信道，而控制则是经过校准的压缩变换。对于在共同忠实输出附近的有限维忠实族，局域对称化的Umegaki响应由信道组合缺陷的Bogoliubov-Kubo-Mori范数支配；对应的玻色子问题在高斯态层面得到精确求解。精确的衰减-压缩响应给出了红外指数转移定律，将灰体透射率和占据标度与可区分性关联起来。对于施瓦西时空上的无质量标量，匹配的低频散射给出了明确的固定分波对数系数和局域可积的波包响应。在有限压缩下，红外输出趋近于不同的纯高斯支撑，产生低于单位阶的有限夹层Rényi散度、单位阶的对数Umegaki增长以及高于单位阶的散度。施瓦西-德西特边界规定生成了可控的源隔离和乘积视界交叉区域。该结果适用于经过校准的渐近端口组合，以及在所述窄带和信道假设下的约化有限带选模实现。
英文摘要
We study how composition order becomes operationally distinguishable when a phase-sensitive Gaussian control is applied before or after black-hole greybody scattering. The scattering process is formulated on calibrated asymptotic mode ports as a bosonic attenuation channel, and the control is a calibrated squeezing transformation. For finite-dimensional faithful families near a common faithful output, the local symmetrized Umegaki response is governed by the Bogoliubov-Kubo-Mori norm of the channel-composition defect; the corresponding bosonic problem is solved exactly at the Gaussian-state level. The exact attenuation-squeezing response yields an infrared exponent-transfer law relating greybody transmission and occupation scalings to distinguishability. For a massless scalar on Schwarzschild, matched low-frequency scattering gives an explicit fixed-partial-wave logarithmic coefficient and a locally integrable packet response. At finite squeezing, the infrared outputs approach distinct pure Gaussian supports, producing finite sandwiched Rényi divergence below unit order, logarithmic Umegaki growth at unit order, and divergence above unit order. Schwarzschild-de Sitter boundary prescriptions generate controlled source-isolated and product-horizon crossover sectors. The results apply to calibrated asymptotic-port compositions and to the reduced finite-band selected-mode realization under the stated narrowband and channel assumptions.
Comments41 pages; 3 figures
