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Fundamentals of quantum entanglement
Title
Fundamentals of quantum entanglement / F.J. Duarte.
ISBN
9780750352680
9780750352659
9780750352666
9780750352697
Edition
Second edition.
Publication
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2022]
Physical Description
1 online resource : illustrations (some color).
Local Notes
Access is available to the Yale community.
Notes
"Version: 20220901"--Title page verso.
Access and use
Access restricted by licensing agreement.
Biographical / Historical Note
F J Duarte is a laser and quantum physicist based in the USA since the 1980s. He has extensive experience in the academic, industrial and defense sectors. He is an editor/author of 15 laser and quantum optics books and sole author of three books (Tunable Laser Optics, Quantum Optics for Engineers, and Fundamentals of Quantum Entanglement). He has made key original contributions to the fields of narrow-linewidth tunable laser oscillators, nanoparticle solid-state laser materials, coherent emission from electrically-pumped organic semiconductors, and laser interferometry. He is also the author of the multiple-prism grating dispersion theory applicable to tunable lasers, laser pulse compression, and coherent microscopy. His contributions have been applied to numerous scientific fields from astronomy to nanophotonics. In 1987 he was elected Fellow of the Australian Institute of Physics, and in 1993 he was elected Fellow of the Optical Society of America. Dr Duarte has been awarded the Engineering Excellence Award and the David Richardson Medal from the Optical Society (Optica).
Summary
Quantum entanglement (QE) 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. Part of IOP Series in Coherent Sources, Quantum Fundamentals, and Applications.
Variant and related titles
IOP ebooks.
Other formats
Also available in print.
Print version:
Format
Books / Online
Language
English
Added to Catalog
October 21, 2022
Series
[IOP release $release]
IOP series in coherent sources, quantum fundamentals, and applications
IOP ebooks. [2022 collection]
Bibliography
Includes bibliographical references and index.
Audience
Scientist and engineers working on quantum entanglement programs around the world. An equally relevant market are graduate students. Science professionals and engineering management administering quantum programs.
Contents
1. Introduction
1.1. Introduction
1.2. Foundations of quantum mechanics
1.3. Ward's observations
1.4. History of quantum entanglement
1.5. The field of quantum entanglement
1.6. Fundamentals of quantum entanglement
1.7. Intent
2. Dirac's physics
2.1. Introduction
2.2. Dirac's pair theory
2.3. Dirac's notation
2.4. Dirac's notation in N-slit interferometers
2.5. Expanded series of N-slit quantum interference probabilities
2.6. The interferometric probability in 2D and 3D
2.7. Semi-coherent interference
2.8. From quantum probabilities to measurable intensities
2.9. Interferometric calculations and quantum coherence
2.10. Dirac's identities
3. The Einstein-Podolsky-Rosen (EPR) paper
3.1. Introduction
3.2. EPR's doubts on quantum mechanics
3.3. Transparent resolution of the EPR 'paradox'
4. The Schrödinger papers
4.1. Introduction
4.2. The first Schrödinger paper
4.3. The second Schrödinger paper
5. Wheeler's paper
5.1. Introduction
5.2. Wheeler's paper significance to quantum theory
5.3. Wheeler's paper significance to quantum experiments
5.4. A theoretical opportunity
6. The probability amplitude for quantum entanglement
6.1. Introduction
6.2. The Pryce-Ward paper
6.3. Ward's doctoral thesis
6.4. Summary
7. The quantum entanglement experiment
7.1. Introduction
7.2. The quantum entanglement experiment
7.3. Historical notes
8. The annihilation quantum entanglement experiments
8.1. Introduction
8.2. The first three quantum entanglement experiments
8.3. Further significance of the annihilation experiments
9. The Bohm and Aharonov paper
9.1. Introduction
9.2. Significance to the development of quantum entanglement research
9.3. Philosophy and physics
10. Bell's theorem
10.1. Introduction
10.2. von Neumann's
10.3. Bell's theorem or Bell's inequalities
10.4. Example
10.5. An additional perspective on Bell's theorem
10.6. More philosophy and physics
11. Feynman's Hamiltonians
11.1. Introduction
11.2. Probability amplitudes via Hamiltonians à la Feynman
11.3. Arrival to quantum entanglement probability amplitudes
11.4. Hyperfine splitting
11.5. Discussion
12. The second Wu quantum entanglement experiment
12.1. Introduction
12.2. Salient features
12.3. Bell's theorem and hidden variables
13. The hidden variable theory experiments
13.1. Introduction
13.2. Testing for local hidden variable theories
13.3. Early optical experiment
13.4. Observations and discussion
14. The optical quantum entanglement experiments
14.1. Introduction
14.2. The Aspect experiments
14.3. Observations and discussion
15. The quantum entanglement probability amplitude 1947-1992
15.1. Introduction
15.2. The quantum entanglement probability amplitude 1947-1992
15.3. Observations and discussion
16. The GHZ probability amplitudes
16.1. Introduction
16.2. The GHZ probability amplitudes
16.3. Observations and discussion
17. The interferometric derivation of the quantum entanglement probability amplitude for n = N = 2
17.1. Introduction
17.2. The meaning of the Dirac-Feynman probability amplitude
17.3. The derivation of the quantum entanglement probability amplitude
17.4. Identical states of polarization
17.5. Beyond single quanta-pair quantum entanglement
17.6. Discussion
18. The interferometric derivation of the quantum entanglement probability amplitude for n = N = 21, 22, 23, 24 ... 2r
18.1. Introduction
18.2. The quantum entanglement probability amplitude for n = N = 4
18.3. The quantum entanglement probability amplitude for n = N = 8
18.4. The quantum entanglement probability amplitude for n = N = 16
18.5. The quantum entanglement probability amplitude for n = N = 21, 22, 23, 24, ... 2r
18.6. Discussion
19. The interferometric derivation of the quantum entanglement probability amplitudes for n = N = 3, 6
19.1. Introduction
19.2. The quantum entanglement probability amplitude for n = N = 3
19.3. The quantum entanglement probability amplitude for n = N = 6
19.4. Discussion
20. Quantum entanglement at n = 1 and N = 2
20.1. Introduction
20.2. Reversibility : from entanglement to interference
20.3. Schematics
20.4. Experimental and theoretical perspectives
20.5. Interference for N slits and n = 1
21. Quantum entanglement probability amplitudes applied to Bell's theorem
21.1. Introduction
21.2. Probability amplitudes
21.3. Quantum polarization
21.4. Quantum probabilities and Bell's theorem
21.5. Application to Bell's theorem
21.6. All-quantum approach
21.7. Discussion
22. Quantum entanglement via matrix notation
22.1. Introduction
22.2. The probability amplitudes of quantum entanglement
22.3. Dirac's ket vectors and Pauli matrices
22.4. Quantum entanglement in Pauli matrix notation
22.5. Quantum entanglement and the Hadamard gate
22.6. Complete set of matrices derived from the probability amplitudes of quantum entanglement
22.7. Polarization rotators for quantum entanglement
22.8. Quantum mathematics with polarization rotators
22.9. Quantum mathematics with the Hadamard gate
22.10. Interconnectivity in quantum mechanics
23. Cryptography via quantum entanglement
23.1. Introduction
23.2. Measurement protocol based on Bell's theorem
23.3. All-quantum measurement protocol
24. Quantum entanglement and teleportation
24.1. Introduction
24.2. The mechanics of teleportation
24.3. Technology
25. Quantum entanglement and quantum computing
25.1. Introduction
25.2. Entropy
25.3. Qbits
25.4. Quantum entanglement and Pauli matrices
25.5. Pauli matrices and quantum entanglement
25.6. Quantum gates
25.7. The Hadamard matrix and quantum entanglement
25.8. Multiple entangled states
25.9. Technology
26. Space-to-space and space-to-Earth communications via quantum entanglement
26.1. Introduction
26.2. Space-to-space configurations
26.3. Experiments
26.4. Further horizons
27. Space-to-space quantum interferometric communications
27.1. Introduction
27.2. The generalized N-slit quantum interference equations
27.3. The generation and transmission of interferometric characters
27.4. The inherent quantum security mechanism
27.5. Discussion
28. Quanta pair sources for quantum entanglement experiments
28.1. Introduction
28.2. Positron-electron annihilation
28.3. Atomic Ca emission
28.4. Type I spontaneous parametric down-conversion
28.5. Type II spontaneous parametric down-conversion
28.6. Quantum description of parametric down-conversion
28.7. Alternative quantum pair sources
28.8. Further horizons
29. Quantum interferometric principles
29.1. Introduction
29.2. Fundamental principles of quantum mechanics
29.3. Nonlocality of the photon
29.4. Indistinguishability and Dirac's identities
29.5. Quantum measurements
29.6. Quantum entanglement at the foundations of quantum mechanics
29.7. On the origin of the Dirac-Feynman principle
29.8. Discussion
30. On the interpretation of quantum mechanics
30.1. Introduction
30.2. Philosophical aspects of quantum entanglement
30.3. Quantum critical
30.4. Conceptual 'problems' in quantum mechanics
30.5. Quantum luminaries
30.6. The pragmatic perspective
30.7. The Dirac-Feynman-Lamb doctrine
30.8. The all-important probability amplitude
30.9. The quantumness derived from the nonlocality of the photon
30.10. The best interpretation of quantum mechanics
30.11. Discussion
Apppendix A. Revisiting the Pryce-Ward probability amplitude for quantum entanglement
Apppendix B. Classical and quantum interference
Apppendix C. Interferometers and their probability amplitudes
Apppendix D. Polarization rotators for quantum entanglement
Apppendix E. Vectors, vector products, matrices, and tensors for quantum entanglement
Apppendix F. Trigonometric identities
Apppendix G. More on quantum notation
Apppendix H. From quantum principles to classical optics
Apppendix I. Introduction to complex conjugates and Hamilton's quaternions
Apppendix J. Some open ended quantum questions.
Subjects
Also listed under
Institute of Physics (Great Britain), publisher.
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