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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

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Relativistic quantum information is one of the most exciting fields of physics today. Not only does it open possibilities for new forms of computing but it also calls into question the peaceful coexistence between classical space–time and quantum physics with scenarios that reopen the relationships between locality and nonlocality in the foundational structure of physics. Curated by two international experts Ignazio Licata and Fabrizio Tamburini, this volume hosts a selection of particularly significant essays for the new territories, and is dedicated to the 60th anniversary of Prof. Ignazio Licata.

spacetime entanglement entropy --- Unruh effect --- gravitational force --- thermodynamics --- holographic principle --- simultaneous --- classical communication --- quantum key distribution --- plug-and-play configuration --- optical amplifier --- relativistic quantum information --- quantum cryptography --- summoning --- no-cloning --- no-signalling --- bit commitment --- quantum electrodynamics --- analogue gravity --- Bose-Einstein condensation --- information loss --- cosmological particle creation --- wormholes --- entanglement --- ER = EPR --- Planck scales --- colliding black holes --- quantum hair --- bohr-likr black holes --- n/a

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This open access book makes quantum computing more accessible than ever before. A fast-growing field at the intersection of physics and computer science, quantum computing promises to have revolutionary capabilities far surpassing “classical” computation. Getting a grip on the science behind the hype can be tough: at its heart lies quantum mechanics, whose enigmatic concepts can be imposing for the novice. This classroom-tested textbook uses simple language, minimal math, and plenty of examples to explain the three key principles behind quantum computers: superposition, quantum measurement, and entanglement. It then goes on to explain how this quantum world opens up a whole new paradigm of computing. The book bridges the gap between popular science articles and advanced textbooks by making key ideas accessible with just high school physics as a prerequisite. Each unit is broken down into sections labelled by difficulty level, allowing the course to be tailored to the student’s experience of math and abstract reasoning. Problem sets and simulation-based labs of various levels reinforce the concepts described in the text and give the reader hands-on experience running quantum programs. This book can thus be used at the high school level after the AP or IB exams, in an extracurricular club, or as an independent project resource to give students a taste of what quantum computing is really about. At the college level, it can be used as a supplementary text to enhance a variety of courses in science and computing, or as a self-study guide for students who want to get ahead. Additionally, readers in business, finance, or industry will find it a quick and useful primer on the science behind computing’s future.

Particle & high-energy physics --- Computer science --- Teaching of a specific subject --- Quantum Physics --- Quantum Computing --- Computer Science, general --- Science Education --- Quantum Information Technology, Spintronics --- Computer Science --- Spintronics --- Open Access --- Introduction to quantum computing --- quantum computing textbook --- quantum computing for high school students --- introduction to quantum cryptography --- quantum gates --- quantum algorithms --- quantum superposition --- what is a qubit? --- quantum key distribution --- Quantum physics (quantum mechanics & quantum field theory) --- Mathematical theory of computation --- Science: general issues

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This Special Issue provides an opportunity for researchers in the area of side-channel attacks (SCAs) to highlight the most recent exciting technologies. The research papers published in this Special Issue represent recent progress in the field, including research on power analysis attacks, cache-based timing attacks, system-level countermeasures, and so on.

n/a --- binary Huff curve --- FPGA --- post quantum cryptography --- data loss --- side-channel cache attacks --- rsa cryptosystem --- first-order analysis --- chaotic circuit --- integrity --- ad libraries --- power-analysis attack --- single trace analysis --- side-channel authentication --- provable security --- ad lib --- cache misses --- cache side-channel attack --- leakage model --- NTRU --- graph --- AES --- hardware security --- recovery of secret exponent by triangular trace analysis --- side-channel attacks --- information leakage --- data outsourcing --- CPLD --- scatter-gather implementation --- modular exponentiation --- lattice-based cryptography --- elliptic curve cryptography --- Gaussian sampling --- post-quantum cryptography --- reliability --- unified point addition --- ad networks --- graph similarity --- mobile ads --- physically unclonable function --- tweakable block cipher --- Merkle (hash) tree --- machine-learning classification --- side channel attack --- online authentication --- side channel analysis --- financial IC card --- side-channel attack --- re-keying --- cloud computing --- cryptographic keys --- chaos theory --- horizontal collision correlation analysis --- countermeasure --- embedded system security --- cache attack --- single-trace attack --- software development kit (SDK) --- CDT sampling --- key bit-dependent attack --- side-channel analysis --- second-order analysis --- constant-time cryptographic algorithm --- android package (APK) --- challenge-response authentication

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This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardize post-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography.

Applied mathematics. --- Engineering mathematics. --- Data structures (Computer science). --- Quantum computers. --- Computer security. --- Mathematical and Computational Engineering. --- Data Structures and Information Theory. --- Quantum Computing. --- Systems and Data Security. --- Computer privacy --- Computer system security --- Computer systems --- Computers --- Cyber security --- Cybersecurity --- Electronic digital computers --- Protection of computer systems --- Security of computer systems --- Data protection --- Security systems --- Hacking --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Engineering --- Engineering analysis --- Mathematical analysis --- Protection --- Security measures --- Mathematics --- Mathematical and Computational Engineering --- Data Structures and Information Theory --- Quantum Computing --- Systems and Data Security --- Mathematical and Computational Engineering Applications --- Data and Information Security --- Cryptography for Quantum Computers --- Post-quantum Cryptography --- Number Theory --- Representation Theory --- Quantum Physics --- Security Modelling --- Open Access --- Maths for engineers --- Algorithms & data structures --- Information theory --- Mathematical theory of computation --- Computer security --- Network security --- Data structures (Computer science)