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arXiv 0810.2041quant-ph
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纠缠增强的经典通信

Entanglement-Enhanced Classical Communication

David A. Herrera-Martí

摘要:

本论文将集中于量子信道的经典容量,这是量子信息理论家最先研究的领域之一。这个问题几年来得到了很好的解决。尽管如此,这项工作将给我一个理由来介绍量子理论的一致形式,以及回顾量子非定域性的基本事实,以及如何利用它来增强通信。此外,这反映了我对经典信息论精神的理解,并旨在成为深入研究量子技术如何帮助塑造电信未来的起点。只要有可能,启发式推理就被引入,而不是严格的数学证明。这可以解释为,我是这个领域自学成才的新手,几乎每次我遇到一个新概念时,物理论证对我来说总是比数学更有吸引力。本论文的技术内容是双重的。一方面,在第四章中提出了一种基于最优化程序的二次分类方法来区分纠缠态。其次,一个不那么困难但我希望同样有趣的技术部分包括一些证明文本的版本。

英文摘要:

This thesis will be focused on the classical capacity of quantum channels, one of the first areas treated by quantum information theorists. The problem is fairly solved since some years. Nevertheless, this work will give me a reason to introduce a consistent formalism of the quantum theory, as well as to review fundamental facts about quantum non-locality and how it can be used to enhance communication. Moreover, this reflects my dwelling in the spirit of classical information theory, and it is intended to be a starting point towards a thorough study of how quantum technologies can help to shape the future of telecommunications. Whenever it was possible, heuristic reasonings were introduced instead of rigorous mathematical proofs. This finds an explanation in that I am a self-taught neophyte in the field, and just about every time I came across a new concept, physical arguments were always more compelling to me than just maths. The technical content of the thesis is twofold. On one hand, a quadratic classification based on optimization programs that I devised for distinguishing entangled states is presented in Chapter 4. In second place, a less difficult yet I hope equally interesting technical part consists of versions of some proofs throughout the text.

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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