一次一密量子多址接入信道的one-shot内界  

One-shot inner bounds for quantum multiple-access one-time pad

作　　者：程斐然 刘小敏 席政军[1] CHENG Feiran;LIU Xiaoming;XI Zhengjun(College of Computer Science,Shaanxi Normal University,Xi’an 710062,China)

机构地区：[1]陕西师范大学计算机科学学院,西安710062

出　　处：《中国科学:物理学、力学、天文学》2025年第4期168-181,共14页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:62171266)资助项目。

摘　　要：本文研究一次一密量子多址接入信道的one-shot情形.假设发送方和接收方共享多体量子纠缠态,利用基于位置的编码技术,发送方将经典消息编码在他拥有的量子系统上,通过无噪声量子信道发送编码后的量子态.接收方收到量子态后,在整个量子系统上使用量子联合典型引理构建解码测量算子进行解码.使用凸分裂引理给出了one-shot信息泄露的上界,利用量子最大熵互信息和量子假设检验互信息给出了可达码率的内界.We consider the one-shot coding of multiple access channels one-time pad.Suppose that the senders and the receiver share an entangled state in the multi-party systems.Using the position-based coding,each sender encodes the classical messages on their systems,then they transmit their systems over the ideal quantum channels.The receiver applies a decoding operator to all the systems in order to figure out which message was transmitted with respect to the quantum joint typicality lemma.We provide the upper bound of the information leakage by the convex split lemma.Combining quantum max-information with quantum hypothesis testing mutual information,we give the inner bound of the achievable rate.

关 键 词：量子多址接入信道 量子联合典型 凸分裂 信息泄露 互信息 

分 类 号：O413[理学—理论物理]