论文标题

量子多访问一次性垫

Quantum Multiple-Access One-Time Pad

论文作者

Wakakuwa, Eyuri

论文摘要

我们介绍并分析了一个信息理论任务,我们称之为量子多访问一次性垫。在这里,许多发件人最初与接收器和窃听器共享相关的量子状态。每个发件人都执行本地操作来编码经典消息,并将其系统发送给接收器,后者随后执行测量以解码消息。接收器将能够几乎完美地解码消息,而窃听器也必须提取有关消息的信息,即使它们可以访问传输的量子系统。我们考虑了一个“条件”方案,其中窃听者也可以访问接收器侧面信息的一部分。我们调查了每个发件人可以编码的最大经典信息。我们在无限的许多副本和消失的小误差的渐近极限中得出了可实现速率区域的单个字母表征。

We introduce and analyze an information theoretical task that we call the quantum multiple-access one-time pad. Here, a number of senders initially share a correlated quantum state with a receiver and an eavesdropper. Each sender performs a local operation to encode a classical message and sends their system to the receiver, who subsequently performs a measurement to decode the messages. The receiver will be able to decode the messages almost perfectly, while the eavesdropper must not be able to extract information about the messages even if they have access to the quantum systems transmitted. We consider a ''conditional'' scenario in which a portion of the receiver's side information is also accessible to the eavesdropper. We investigate the maximum amount of classical information that can be encoded by each of the senders. We derive a single-letter characterization for the achievable rate region in an asymptotic limit of infinitely many copies and vanishingly small error.

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