费米子视界通道的相反后处理顺序及其量子资源单调性
Opposite post-processing orders of fermionic horizon channels and their quantum-resource monotonicity
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中文总结 AI 辅助
该研究构建互补的费米子外区和内区量子通道，发现其后处理顺序相反，在GHS黑洞时空中验证了相关量子资源的均匀单调性，揭示了相对论量子信息中资源单调趋势的共同底层结构。
中文摘要 AI 辅助
非惯性和黑洞环境下的相对论量子信息研究常通过对特定输入态和态泛函的显式计算确定资源行为，但仍不清楚反复出现的单调趋势源于这些选择还是共同的底层结构。本工作将有效单模费米子视界变换构建为一对互补的外区和内区量子通道，分别对应物理上可访问和不可访问的部分，并建立了相反方向的精确后处理顺序。随着相对论通道参数$q$增大，外区通道逐渐退化，而内区通道则按相反方向排序，这些关系可扩展至任意多体场景。因此，在对应中间映射下非增的所有态泛函，在外区均匀 sector 中为非增，在内区均匀 sector 中为非减。该框架适用于广泛的量子资源和关联类，包括纠缠、占据基相干单调量、优化的贝尔泛函量以及收缩散度关联度量。我们还在Garfinkle-Horowitz-Strominger（GHS）伸缩子黑洞时空中基于量子Jensen-Shannon散度（QJSD）数值评估了集体相干性，验证了预测的均匀单调性。由此，反复出现的趋势可追溯至共同的通道排序结构，而物理环境决定了$q$的参数化，资源理论单调性则决定了哪些输出态量继承该顺序。
英文摘要
Relativistic quantum-information studies in noninertial and black-hole settings often determine resource behavior through explicit calculations for particular input states and state functionals, leaving unclear whether the recurring monotonic trends originate from those choices or from a common underlying structure. In this work, we formulate the effective single-mode fermionic horizon transformation as a pair of complementary exterior and interior quantum channels, corresponding respectively to the physically accessible and inaccessible sectors, and establish exact post-processing orders in opposite directions. As the relativistic channel parameter $q$ increases, the exterior channel becomes progressively degraded, whereas the interior channel is ordered in the reverse direction. These relations extend to arbitrary multipartite settings. Consequently, every state functional that is non-increasing under the corresponding intermediate maps is non-increasing in homogeneous exterior sectors and non-decreasing in homogeneous interior sectors. The framework therefore applies to broad classes of quantum resources and correlations, including entanglement and occupation-basis coherence monotones, optimized Bell-functional quantities, and contractive-divergence correlation measures. We further numerically evaluate collective coherence based on the quantum Jensen-Shannon divergence (QJSD) in the Garfinkle-Horowitz-Strominger (GHS) dilaton-black-hole spacetime, illustrating the predicted homogeneous monotonicity. The recurring trends are therefore traced to a common channel-ordering structure, while the physical setting determines the parameterization of $q$ and the resource-theoretic monotonicity determines which output-state quantities inherit the order.
