This is a preliminary version of a book in progress on the theory of quantum communication. We adopt an information-theoretic perspective throughout and give a comprehensive account of fundamental results in quantum communication theory from the past decade (and earlier), with an emphasis on the modern one-shot-to-asymptotic approach that underlies much of today's state-of-the-art research in this field. In Part I, we cover mathematical preliminaries and provide a detailed study of quantum mechanics from an information-theoretic perspective. We also provide an extensive and thorough review of quantum entropies, and we devote an entire chapter to the study of entanglement measures. Equipped with these essential tools, in Part II we study classical communication (with and without entanglement assistance), entanglement distillation, quantum communication, secret key distillation, and private communication. In Part III, we cover the latest developments in feedback-assisted communication tasks, such as quantum and classical feedback-assisted communication, LOCC-assisted quantum communication, and secret key agreement.

翻译：本文为量子通信理论方面一本正在撰写中的著作的初版。我们全程采用信息论视角，系统阐述过去十年（及更早时期）量子通信理论的基本成果，重点突出奠定该领域当前前沿研究基础的现代“单次-渐近”方法。第一部分涵盖数学预备知识，并从信息论角度对量子力学进行详细研究。我们还对量子熵进行了全面深入的综述，并用整章篇幅专门研究纠缠度量。掌握这些基础工具后，我们在第二部分研究经典通信（含与不含纠缠辅助）、纠缠蒸馏、量子通信、密钥蒸馏及保密通信。第三部分涵盖反馈辅助通信任务的最新进展，如量子与经典反馈辅助通信、LOCC辅助量子通信及密钥协商。