Fundamentals of Quantum Entanglement (Second Edition)

By (author) F J Duarte

Publication date:

12 September 2022

Length of book:

333 pages

Publisher

Institute Of Physics Publishing

Dimensions:

254x178mm
7x10"

ISBN-13: 9780750352659

Quantum Entanglement has rapidly become a subject of great interest in academia, industry, and government research institutions. This book builds on the first edition of Fundamentals of Quantum Entanglement to provide a transparent and more insightful introduction for graduate students, scientists, and engineers. It is also a highly useful education tool for those practitioners that were not aware of the physical origin of quantum entanglement: the Dirac-Wheeler-Pryce-Ward physics. The new edition includes an expansion on topics such as quantum entropy and quantum time. The book provides a direct, practical, and transparent introduction to the principles and physics of quantum entanglement. It does so whilst utilizing an interferometric approach based on Dirac-Feynman superposition probability amplitudes.

Key Features:

Provides an overview of quantum entanglement at a basic level

Explains the philosophical origin of quantum entanglement as well as the physical origin

Presents the key equation for the probability amplitude for QE from three perspectives while emphasizing its interferometric derivation

Includes applications on Quantum Cryptography, Quantum Teleportation, Quantum Computing

Reviews the current technology of QE with an emphasis in space-to-space communications

1. Introduction 2. Dirac’s physics
3. The Einstein-Podosky-Rosen (EPR) paper 4. The Schrödinger papers 5. Wheeler’s paper 6. The probability amplitude for quantum entanglement 7. The quantum entanglement experiment 8. The annihilation quantum entanglement experiments 9. The Bohm and Aharonov paper 10. Bell’s theorem 11. Feynman’s Hamiltonians 12. The second Wu quantum entanglement experiment 13. The hidden variable theory experiments 14. The optical quantum entanglement experiments 15. The quantum entanglement probability amplitude 1947-1992 16. The GHZ probability amplitudes 17. The interferometric derivation of the quantum entanglement probability amplitude for n = N = 2 18. The interferometric derivation of the quantum entanglement probability amplitude for n = N = 21 22 , 23 , 2 4… 2r 19. The interferometric derivation of the quantum entanglement probability amplitudes for n = N = 3, 6 20. Quantum entanglement at n = 1 and N = 2
21. Quantum entanglement probability amplitudes applied to Bell’s theorem 22. Quantum entanglement via matrix notation
23. Cryptography via quantum entanglement 24. Quantum entanglement and teleportation
25. Quantum entanglement and quantum computing 26. Space-to-space and space-to-Earth communications via quantum entanglement 27. Space-to-space quantum interferometric communications 28. Quanta pair sources for quantum entanglement experiments 29. Quantum interferometric principles 30. On the interpretation of quantum mechanics Appendices A. Revisiting the Pryce-Ward probability amplitude for quantum entanglement
B. Classical and quantum interference C. Interferometers and their probability amplitudes D. Polarization rotators for quantum entanglement
E. Vectors, vector products, matrices, and tensors for quantum entanglement
F. Trigonometric identities G. More on quantum notation H. From quantum principles to classical optics I. Introduction to complex conjugates and Hamilton’s quaternions J. Some open ended quantum questions

While good wines and cheeses get better with age, good books require more human intervention. The second edition of Fundamentals of Quantum Entanglement makes an excellent book into an even better one. The second edition has a similar structure to the first, with relatively short and dense but easy-to-follow chapters, most of them packed with advanced math, and all of them including multiple chapter references (many published by the book author). The second edition includes a new chapter on quantum entanglement via matrix notation, as well as many additional sections in the existing chapters. To help the reader digest the sometimes daunting math treatment, the book is illustrated with diagrams and charts (some in color, although not much benefitting from color) and mapped out around a fairly extensive index. While the first edition was already an excellent reference for those interested in quantum entanglement, the second edition could equally well be used as a textbook, because each chapter includes a set of problems.

Bogdan Hoanca, Optica, October 2023