Fundamentals of quantum entanglement / F.J. Duarte.

Format:

Book

Author/Creator:

Duarte, F. J. (Frank J.), author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP (Series). Release 6.

IOP expanding physics

IOP series in coherent sources and applications.

[IOP release 6]

IOP expanding physics, 2053-2563

IOP series in coherent sources and applications

Language:

English

Subjects (All):

Quantum entanglement.

Physical Description:

1 online resource (various pagings) : illustrations (some color).

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2019]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

text file

Biography/History:

F.J. Duarte is an award-winning laser physicist who is a Fellow of the Australian Institute of Physics, and the Optical Society. As an expert in the field of narrow-linewidth tuneable lasers and their applications, Duarte has a vast knowledge and research experience in coherent imaging, high-power tuneable lasers, interferometric microscopy, laser metrology, laser oscillator physics, quantum interference, and numerous other related fields. He is currently exploring the physics of organic semiconductor coherent sources and quantum space-to-space communications, which are rapidly developing fields with exciting horizons.

Summary:

Quantum entanglement (QE) is undoubtedly 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 fibre communications, in addition to teleportation and quantum computing, QE goes beyond fascination and into the pragmatic spheres of commerce and the military. This book is written by Professor Duarte, an expert in the field of quantum optics. He provides the first side-by-side description of the philosophical path and the physical path to quantum entanglement, and does so in a clear and cohesive manner. This is also the first book to describe and explain, in a transparent exposition, the interferometric derivation, à la Dirac, of the ubiquitous probability amplitude for quantum entanglement. The book will be useful for optical engineers working in the field of quantum entanglement and quantum communications as well as graduate students. The book includes 29 succinct, to the point, chapters and utilizes 10 useful appendices to further detail QE. Part of Series in Coherent Sources and Applications.

Contents:

1. Introduction

1.1. Introduction

1.2. A few words on quantum mechanics

1.3. Ward's observation

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 contribution

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. Semi coherent interference

2.6. From quantum probabilities to measurable intensities

2.7. Dirac's identities

3. The Einstein-Podolsky-Rosen (EPR) paper

3.1. Introduction

3.2. EPR's doubts on quantum mechanics

3.3. EPR's definition of a correct theory

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's significance to quantum theory

5.3. Wheeler's paper's significance to quantum experiments

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 work

10.3. Bell's theorem or Bell's inequalities

10.4. An additional perspective on Bell's theorem

10.5. Example

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. 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 1947-92

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. 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. What happens with the 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 and Bell's theorem

21.1. Introduction

21.2. Probability amplitudes

21.3. Quantum polarization

21.4. Quantum probabilities and Bell's theorem

21.5. Example

21.6. Discussion

22. Cryptography via quantum entanglement

22.1. Introduction

22.2. Measurement protocol

22.3. Experiments

23. Quantum entanglement and teleportation

23.1. Introduction

23.2. The mechanics of teleportation

23.3. Technology

24. Quantum entanglement and quantum computing

24.1. Introduction

24.2. Entropy

24.3. Qbits

24.4. Quantum entanglement and Pauli matrices

24.5. Pauli matrices and quantum entanglement

24.6. Quantum gates

24.7. The Hadamard matrix and quantum entanglement

24.8. Multiple entangled states

24.9. Technology

25. Space-to-space and space-to-Earth communications via quantum entanglement

25.1. Introduction

25.2. Space-to-space configurations

25.3. The space-to-Earth experiment

25.4. Further horizons

26. Space-to-space quantum interferometric communications : an alternative to quantum entanglement communications?

26.1. Introduction

26.2. The generalized N-slit quantum interference equations

26.3. The generation and transmission of interferometric characters

26.4. The inherent quantum security mechanism

26.5. Discussion

27. Quanta pair sources for quantum entanglement experiments

27.1. Introduction

27.2. Positron-electron annihilation

27.3. Atomic Ca emission

27.4. Type I SPDC

27.5. Type II SPDC

27.6. Further horizons

28. More on quantum entanglement

28.1. Introduction

28.2. Consequences of the EPR paper

28.3. Hidden variable theories

28.4. The perspectives of EPR and Schrödinger on quantum entanglement

28.5. Indistinguishability and Dirac's identities

28.6. Photon non-locality

28.7. Discussion

29. On the interpretation of quantum mechanics

29.1. Introduction

29.2. Quantum critical

29.3. Pragmatic perspective

29.4. Fundamental principles

29.5. The Dirac-Feynman-Lamb doctrine

29.6. The importance of the probability amplitude

29.7. The best interpretation of quantum mechanics

29.8. Discussion.

Notes:

"Version: 20191001"--Title page verso.

Includes bibliographical references and index.

Title from PDF title page (viewed on November 18, 2019).

Other Format:

Print version:

ISBN:

9780750322287

9780750322270

OCLC:

1128001598

Access Restriction:

Restricted for use by site license.