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arXiv 2011.04672quant-phcond-mat.stat-mechcs.IThep-thmath-phmath.ITmath.MP
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量子通信理论原理:一种现代方法

Principles of Quantum Communication Theory: A Modern Approach

Sumeet Khatri, Mark M. Wilde

AI总结:

本书以信息论视角系统阐述量子通信理论,涵盖量子力学基础、量子熵与纠缠度量,并深入讨论经典与量子通信、纠缠蒸馏、密钥蒸馏及反馈辅助通信等核心主题,强调现代一次性到渐近方法。

摘要:

这是一本关于量子通信理论的在编书籍的初步版本。我们全程采用信息论视角,全面阐述过去十年(及更早)量子通信理论中的基本结果,重点强调现代一次性到渐近方法,该方法支撑了当今该领域许多最前沿的研究。在第一部分,我们涵盖数学预备知识,并从信息论视角对量子力学进行详细研究。我们还对量子熵进行了广泛而深入的综述,并专门用一章来研究纠缠度量。在掌握这些基本工具后,我们在第二部分研究经典通信(有纠缠辅助和无纠缠辅助)、纠缠蒸馏、量子通信、密钥蒸馏和私有通信。在第三部分,我们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辅助量子通信和密钥协商。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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