Identification over quantum broadcast channels is considered. As opposed to the information transmission task, the decoder only identifies whether a message of his choosing was sent or not. This relaxation allows for a double-exponential code size. An achievable identification region is derived for a quantum broadcast channel, and a full characterization for the class of classical-quantum broadcast channels. The identification capacity region of the single-mode pure-loss bosonic broadcast channel is obtained as a consequence. Furthermore, the results are demonstrated for the quantum erasure broadcast channel, where our region is suboptimal, but improves on the best previously known bounds.
翻译:本文研究了量子广播信道上的识别问题。与信息传输任务不同,解码器仅需判断其选择的特定消息是否被发送。这种约束放宽使得编码规模可实现双指数增长。针对量子广播信道推导了可实现的识别区域,并给出了经典-量子广播信道类别的完整刻画。由此获得了单模纯损耗玻色子广播信道的识别容量区域。进一步地,在量子擦除广播信道中验证了上述结果——虽然所提区域并非最优,但仍改进了此前已知的最佳边界。