标题： 主动假设检验在相移键控相干态的量子检测中的应用 显示英文标题

标题： Active Hypothesis Testing for Quantum Detection of Phase-Shift Keying Coherent States

摘要： 本文通过主动假设检验的视角探讨了相移键控（PSK）编码的相干态的量子检测，重点关注具有位移振幅和能量限制的Dolinar类似接收器。 通过相干态切片，我们将问题表述为一个受控传感任务，在该任务中观察核的参数随样本量缩小。证明了受限开环错误指数以及相应的贝叶斯错误概率上界。 令人惊讶的是，对于高暗计数的二进制PSK，最优开环策略并不是简单的时分复用。 这项工作为进一步通过主动假设检验框架获得资源约束量子通信接收器设计的分析见解奠定了基础。 显示英文摘要

摘要： This paper explores the quantum detection of Phase-Shift Keying (PSK)-coded coherent states through the lens of active hypothesis testing, focusing on a Dolinar-like receiver with constraints on displacement amplitude and energy. With coherent state slicing, we formulate the problem as a controlled sensing task in which observation kernels have parameters shrinking with sample size. The constrained open-loop error exponent and a corresponding upper bound on the Bayesian error probability are proven. Surprisingly, the exponent-optimal open-loop policy for binary PSK with high dark counts is not simply time-sharing. This work serves as a first step towards obtaining analytical insights through the active hypothesis testing framework for designing resource-constrained quantum communication receivers.