论文标题

量子传播理论的原理:一种现代方法

Principles of Quantum Communication Theory: A Modern Approach

论文作者

Khatri, Sumeet, Wilde, Mark M.

论文摘要

这是关于量子交流理论正在进行的书的初步版本。我们在整个过程中都采用了信息理论的观点,并全面地描述了过去十年(及以前)的量子通信理论的基本结果,重点是现代的一次性射击方法,这是当今该领域许多最先进的研究基础的基础。在第一部分中,我们涵盖了数学初步,并从信息理论的角度提供了量子力学的详细研究。我们还对量子熵进行了广泛而彻底的审查,并将整个章节用于纠缠措施的研究。配备了这些基本工具,在第二部分中,我们研究经典交流(有和没有纠缠援助),纠缠蒸馏,量子通信,秘密密钥蒸馏和私人通信。在第三部分中,我们涵盖了反馈辅助通信任务的最新发展,例如量子和经典的反馈辅助通信,LOCC辅助量子通信和秘密密钥协议。

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.

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