自由空间光干涉信道
The free space optical interference channel
摘要：
多用户光通信的半经典模型不能评估物理定律所允许的可靠通信的极限。在迄今为止在量子框架内分析的所有光通信设置中，结构化接收器的容量的量子极限与香农极限之间的差距在低光子数制度中变得最显著。在这里，我们提出了一个量子处理的多发射机多接收机多空间模式的自由空间干涉信道的衍射有限的损失和热背景。我们考虑的激光（相干态）编码的性能与各种检测策略，如零差，外差，联合检测。只要信道表现出“非常强”的干扰，联合检测就优于零差和外差检测。当信道具有“强”干扰时，我们确定了零差或外差检测的容量区域，并推测在这种情况下存在一种优于前两种检测策略的联合检测策略。最后，我们确定了韩小林可实现的零差和外差检测速率区域，并将它们与可实现的联合检测策略区域进行比较。在后者的情况下，我们确定可实现的速率区域，如果接收器采用最近发现的最小熵量子同步解码器。
英文摘要：
Semiclassical models for multiple-user optical communication cannot assess the ultimate limits on reliable communication as permitted by the laws of physics. In all optical communications settings that have been analyzed within a quantum framework so far, the gaps between the quantum limit to the capacity and the Shannon limit for structured receivers become most significant in the low photon-number regime. Here, we present a quantum treatment of a multiple-transmitter multiple-receiver multi-spatial-mode free-space interference channel with diffraction-limited loss and a thermal background. We consider the performance of a laser-light (coherent state) encoding in conjunction with various detection strategies such as homodyne, heterodyne, and joint detection. Joint detection outperforms both homodyne and heterodyne detection whenever the channel exhibits "very strong" interference. We determine the capacity region for homodyne or heterodyne detection when the channel has "strong" interference, and we conjecture the existence of a joint detection strategy that outperforms the former two strategies in this case. Finally, we determine the Han-Kobayashi achievable rate regions for both homodyne and heterodyne detection and compare them to a region achievable by a conjectured joint detection strategy. In these latter cases, we determine achievable rate regions if the receivers employ a recently discovered min-entropy quantum simultaneous decoder.
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