Quantum Entanglement Engineering And Applications

Quantum entanglement (QE) is one of the most, if not the most, mysterious, and yet most promising subjects of current physics. With applications in cryptographic space-to-space, space-to-earth, and fiber communications, in addition to teleportation and quantum computing, QE goes beyond fascination and into the pragmatic spheres of commerce and the military. With the growing population of engineers in need of a transparent, pragmatic, and direct introduction to QE and its applications, this book, the first of its kind, focuses on the practical mathematical tools necessary to handle QE and its requirements to design optical configurations for QE-based systems. Specific applications include satellite networks, space-to-space communications, quantum teleportation, and quantum computing.

This introduction to quantum mechanics is intended for undergraduate students of physics, chemistry, and engineering with some previous exposure to quantum ideas. Following in Heisenberg’s and Dirac’s footsteps, this book is centered on the concept of the quantum state as an embodiment of all experimentally available information about a system, and its representation as a vector in an abstract Hilbert space. This conceptual framework and formalism are introduced immediately, and developed throughout the first four chapters, while the standard Schrödinger equation does not appear until Chapter 5. The book grew out of lecture notes developed by the author over fifteen years of teaching at the undergraduate level. In response to numerous requests by students, material is presented with an unprecedented level of detail in both derivation of technical results and discussion of their physical significance. The book is written for students to enjoy reading it, rather than to use only as a source of formulas and examples. The colloquial and personal writing style makes it easier for readers to connect with the material. Additionally, readers will find short, relatable snippets about the “founding fathers” of quantum theory, their difficult historical circumstances, personal failings and triumphs, and often tragic fate. This textbook, complete with extensive original end-of-chapter exercises, is recommended for use in one- or two-semester courses for upper level undergraduate and beginning graduate students in physics, chemistry, or engineering.

"The second edition of Quantum Optics for Engineers: Quantum Entanglement is an updated, and extended version of its first edition. New features include a transparent interferometric derivation of the physics for quantum entanglement devoid of mysteries and paradoxes. It also provides a utilitarian matrix version of quantum entanglement apt for engineering applications. Features: introduces quantum entanglement via the Dirac-Feynman interferometric principle, free of paradoxes, provides a practical matrix version of quantum entanglement which is highly utilitarian and useful for engineers, focuses on the physics relevant to quantum entanglement and is coherently and consistently presented via Dirac's notation, illustrates the interferometric quantum origin of fundamental optical principles such as diffraction, refraction, and reflection, and emphasizes mathematical transparency and extends on a pragmatic interpretation of quantum mechanics. The book is written for advanced physics and engineering students, practicing engineers and scientists seeking a workable-practical introduction to quantum optics and quantum entanglement"--

Quantum Optics for Engineers provides a transparent and methodical introduction to quantum optics via the Dirac's bra–ket notation with an emphasis on practical applications and basic aspects of quantum mechanics such as Heisenberg's uncertainty principle and Schrodinger's equation. Self-contained and using mainly first-year calculus and algebra tools, the book: Illustrates the interferometric quantum origin of fundamental optical principles such as diffraction, refraction, and reflection Provides a transparent introduction, via Dirac's notation, to the probability amplitude of quantum entanglement Explains applications of the probability amplitude of quantum entanglement to optical communications, quantum cryptography, quantum teleportation, and quantum computing. Quantum Optics for Engineers is succinct, transparent, and practical, revealing the intriguing world of quantum entanglement via many practical examples. Ample illustrations are used throughout its presentation and the theory is presented in a methodical, detailed approach.

The second edition of Quantum Optics for Engineers: Quantum Entanglement is an updated and extended version of its first edition. New features include a transparent interferometric derivation of the physics for quantum entanglement devoid of mysteries and paradoxes. It also provides a utilitarian matrix version of quantum entanglement apt for engineering applications. Features: Introduces quantum entanglement via the Dirac–Feynman interferometric principle, free of paradoxes. Provides a practical matrix version of quantum entanglement which is highly utilitarian and useful for engineers. Focuses on the physics relevant to quantum entanglement and is coherently and consistently presented via Dirac’s notation. Illustrates the interferometric quantum origin of fundamental optical principles such as diffraction, refraction, and reflection. Emphasizes mathematical transparency and extends on a pragmatic interpretation of quantum mechanics. This book is written for advanced physics and engineering students, practicing engineers, and scientists seeking a workable-practical introduction to quantum optics and quantum entanglement.

Quantum mechanics is a highly successful yet mysterious theory. Quantum Mechanics for Beginners provides an accessible introduction to this fascinating subject for those with only a high school background in physics and mathematics. This book is entirely algebra-based, except for the last chapter on the Schrodinger equation. A major advantage of this book is that it provides an introduction to the fields of quantum communication and quantum computing. Topics covered include wave-particle duality, Heisenberg uncertainty relation, Bohr's principle of complementarity, quantum superposition and entanglement, Schrodinger's cat, Einstein-Podolsky-Rosen paradox, Bell theorem, quantum no-cloning theorem and quantum copying, quantum eraser and delayed choice, quantum teleportation, quantum key distribution protocols such as BB-84 and B-92, counterfactual communication, quantum money, quantum Fourier transform, quantum computing protocols including Shor and Grover algorithms, quantum dense coding, and quantum tunneling. All these topics and more are explained fully, but using only elementary mathematics. Each chapter is followed by exercises and a short list of references. This book is meant for beginning college students as well as advanced high school students, and can be used as a text for a one-semester course at the undergraduate level. It can also be useful for those who want to learn some of the fascinating recent and ongoing developments in areas related to the foundations of quantum mechanics and its applications to areas like quantum communication and quantum computing.

This book provides a self-contained undergraduate course on quantum computing based on classroom-tested lecture notes. It reviews the fundamentals of quantum mechanics from the double-slit experiment to entanglement, before progressing to the basics of qubits, quantum gates, quantum circuits, quantum key distribution, and some of the famous quantum algorithms. As well as covering quantum gates in depth, it also describes promising platforms for their physical implementation, along with error correction, and topological quantum computing. With quantum computing expanding rapidly in the private sector, understanding quantum computing has never been so important for graduates entering the workplace or PhD programs. Assuming minimal background knowledge, this book is highly accessible, with rigorous step-by-step explanations of the principles behind quantum computation, further reading, and end-of-chapter exercises, ensuring that undergraduate students in physics and engineering emerge well prepared for the future.

A complete overview of quantum mechanics, covering essential concepts and results, theoretical foundations, and applications. This undergraduate textbook offers a comprehensive overview of quantum mechanics, beginning with essential concepts and results, proceeding through the theoretical foundations that provide the field’s conceptual framework, and concluding with the tools and applications students will need for advanced studies and for research. Drawn from lectures created for MIT undergraduates and for the popular MITx online course, “Mastering Quantum Mechanics,” the text presents the material in a modern and approachable manner while still including the traditional topics necessary for a well-rounded understanding of the subject. As the book progresses, the treatment gradually increases in difficulty, matching students’ increasingly sophisticated understanding of the material. • Part 1 covers states and probability amplitudes, the Schrödinger equation, energy eigenstates of particles in potentials, the hydrogen atom, and spin one-half particles • Part 2 covers mathematical tools, the pictures of quantum mechanics and the axioms of quantum mechanics, entanglement and tensor products, angular momentum, and identical particles. • Part 3 introduces tools and techniques that help students master the theoretical concepts with a focus on approximation methods. • 236 exercises and 286 end-of-chapter problems • 248 figures