We consider the problem of covert communication over the entanglement-assisted (EA) bosonic multiple access channel (MAC). We derive a closed-form achievable rate region for the general EA bosonic MAC using high-order phase-shift keying (PSK) modulation. Specifically, we demonstrate that in the low-photon regime the capacity region collapses into a rectangle, asymptotically matching the point-to-point capacity as multi-user interference vanishes. We also characterize an achievable covert throughput region, showing that entanglement assistance enables an aggregate throughput scaling of \(O(\sqrt{n} \log n)\) covert bits with the block length $n$ for both senders, surpassing the square-root law as in the point-to-point case. Our analysis reveals that the joint covertness constraint imposes a linear trade-off between the senders throughput.

翻译：本文研究纠缠辅助（EA）玻色多址信道（MAC）上的隐蔽通信问题。利用高阶相移键控（PSK）调制，我们推导了通用EA玻色多址信道的闭式可达速率区域。具体而言，我们证明在低光子数区域，随着多用户干扰消失，容量区域会退化为矩形，并渐近匹配点对点信道容量。同时，我们刻画了可达的隐蔽吞吐量区域，表明纠缠辅助能使两个发送端在码长$n$下实现总吞吐量以\(O(\sqrt{n} \log n)\)隐蔽比特的速率增长，超越了点对点场景中的平方根定律。我们的分析表明，联合隐蔽性约束会在发送端吞吐量之间施加线性权衡关系。