Quantum Information Theory: Mathematical Foundation (Hardcover)
暫譯: 量子資訊理論:數學基礎 (精裝版)

Masahito Hayashi

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商品描述

This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides  lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption.
Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics – all of which are addressed here – made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation.
With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained.
Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information.
To aid in understanding, each chapter is accompanied by a set of exercises and solutions.

商品描述(中文翻譯)

這本研究生教科書提供了量子資訊理論的統一視角。清楚地解釋了必要的數學基礎,融合了來自資訊理論和量子力學的關鍵主題,並提供了基本結果的明確解釋。得益於這種統一的方法,它使得量子通信中的一些先進主題變得易於理解,例如量子傳送、超密碼編碼、量子狀態傳輸(量子錯誤更正)和量子加密。

自從前一本書《量子資訊:導論》的出版以來,量子資訊領域取得了巨大的進展。特別是以下主題——這些主題在本書中都有涉及——已經取得了重大進展:量子狀態辨識、量子通道容量、雙方和多方糾纏、量子通信的安全分析、反香農定理和不確定性關係。

關於量子安全的分析,本書採用了改進的方法來評估洩漏的信息,並確定了量子安全與量子相干性之間的顯著關係。這兩項改進共同促進了對量子狀態傳輸的更好分析。此外,還解釋了各種新發現的不確定性關係。

本書展示了大量的新發展,向讀者介紹了量子資訊領域的最新進展和挑戰。

為了幫助理解,每一章都附有一組練習題和解答。