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This thesis by Alvaro Alarcón Cuevas explores advancements in quantum communication through the development of a fiber-optic platform. The work addresses the challenges of data security in optical networks by implementing quantum key distribution (QKD) methods, which utilize natural properties rather than mathematical constructs for data encryption. The thesis introduces a novel approach that combines phase-coded systems with time-bin schemes, effectively reducing losses and demonstrating compatibility with existing optical networks. The study successfully transmits phase-coded single-photon states over a 500-meter few-mode fiber and supports orbital angular momentum (OAM) modes, paving the way for more efficient quantum communication systems. This research is intended for professionals and academics in the fields of quantum mechanics and optical engineering.

Quantum communication. --- Quantum cryptography.

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Jonathan Jogenfors' dissertation, 'Breaking the Unbreakable: Exploiting Loopholes in Bell’s Theorem to Hack Quantum Cryptography,' explores the vulnerabilities in quantum key distribution systems. By examining energy-time entangled systems, the work identifies loopholes that could be exploited by attackers. The thesis discusses the no-cloning theorem and the potential of quantum money, proposing a novel concept of Quantum Bitcoin, which integrates blockchain technology. The study aims to enhance the security of quantum cryptography and is intended for researchers and professionals in quantum physics and cryptography.

Quantum cryptography. --- Bell's theorem.

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This book offers an accessible and engaging introduction to quantum cryptography, assuming no prior knowledge in quantum computing. Essential background theory and mathematical techniques are introduced and applied in the analysis and design of quantum cryptographic protocols. The title explores several important applications such as quantum key distribution, quantum money, and delegated quantum computation, while also serving as a self-contained introduction to the field of quantum computing. With frequent illustrations and simple examples relevant to quantum cryptography, this title focuses on building intuition and challenges readers to understand the basis of cryptographic security. Frequent worked examples and mid-chapter exercises allow readers to extend their understanding, and in-text quizzes, end-of-chapter homework problems, and recommended further reading reinforce and broaden understanding. Online resources available to instructors include interactive computational problems in Julia, videos, lecture slides, and a fully worked solutions manual.

Quantum cryptography --- Quantum computing --- Mathematics. --- Security measures.

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The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.

Information theory in physics. --- Quantum entropy. --- Quantum Computing. --- Quantum Cryptography. --- Quantum Information. --- Quantum Systems. --- Quantum Theory.

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This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography. This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research.

Post-Quantum Cryptography --- Gauss Lattice --- Reduction --- Learning With Errors --- FHE --- Fourier transform --- Ideal lattice --- NTRU --- Smoothing parameters --- Discrete Gaussian measure