Quantum Metrology Imaging and Communication 1st Edition by David Simon, Gregg Jaeger, Alexander Sergienko ISBN 9783319465517 3319465511

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ISBN 10: 3319465511
ISBN 13: 9783319465517
Author: David Simon, Gregg Jaeger, Alexander Sergienko

Quantum Metrology Imaging and Communication 1st Edition Table of contents:

1 Quantum Optics and Entanglement

1.1 Introduction

1.2 Quantum Mechanics

1.3 Classical and Quantum Information

1.4 Bits and Qubits in Quantum Optics

1.4.1 An Example: Spatial Qubits

1.4.2 Types of Optical Qubits

1.5 Detecting and Quantifying Entanglement

1.5.1 Bell-Type Inequalities

1.5.2 Schmidt Decomposition, Schmidt Number

1.5.3 Negativity and the Positive Partial Transpose Condition

1.5.4 Entanglement Monotones and Entanglement of Formation

1.5.5 Quantum Discord

1.5.6 Concurrence

1.5.7 Tangle

1.5.8 Entanglement Witnesses

1.6 Entanglement in Practice: Spontaneous Parametric Down Conversion

1.6.1 The Biphoton State

1.6.2 Entanglement in SPDC

1.7 Other Sources of Single Photons and Entangled-Photon Pairs

1.7.1 Atomic Cascades

1.7.2 Additional Atomic and Solid-State Sources

1.7.3 Fiber and Photonic Crystal Sources

1.8 Qudits

1.9 “Local Reality” and Bell-Type Inequalities

1.10 Classical Versus Quantum Correlations

1.11 State Discrimination in Quantum Mechanics

References

2 Two-Photon Interference

2.1 Classical Interferometry

2.2 Correlation Functions

2.2.1 First-Order Correlations

2.2.2 Second-Order Correlations

2.3 Hanbury Brown and Twiss: Source Size from Correlation

2.4 From One-Photon to Two-Photon Interference

2.5 The Hong–Ou–Mandel Dip

2.6 The Franson Interferometer

2.7 Double-Crystal Experiments and Induced Coherence

References

3 Aberration and Dispersion Cancelation

3.1 Introduction: Cancelation of Optical Phase Distortions

3.2 Dispersion Cancelation

3.2.1 Dispersion Cancelation

3.2.2 Steinberg–Kwiat–Chiao Dispersion Cancelation

3.2.3 Franson Dispersion Cancelation

3.3 Separation of Even and Odd Orders

3.4 Aberration Cancelation in Interferometry

3.4.1 Optical Aberration

3.4.2 Even-Order Aberration-Cancelation

3.4.3 Aberration Cancelation to All Orders

3.4.4 Comparison with Dispersion Cancelation

3.4.5 Physical Interpretation

References

4 Quantum Metrology

4.1 Absolute Photon Sources

4.2 Absolute Calibration of Photon-Counting Detectors

4.3 Quantum Ellipsometry

4.3.1 Classical Ellipsometry

4.3.2 Quantum Ellipsometry

4.4 Quantum Optical Coherence Tomography

4.4.1 Classical OCT

4.4.2 Quantum OCT

4.4.3 Mimicking Quantum OCT with Classical Light

4.5 Quantum Lithography and NOON States

4.6 Phase Measurements and Fundamental Measurement Limits

4.7 Frequency Measurements

4.8 Additional Applications in Metrology

References

5 Polarization Mode Dispersion

5.1 Classical Versus Quantum Measurement ƒ

5.2 Chromatic Dispersion and Polarization Mode Dispersion

5.3 Classical PMD Measurement

5.4 Type A Quantum Measurement

5.5 Type B Quantum Measurement

5.5.1 Experimental Determination of PMD for Compact Devices

References

6 Ghost Imaging and Related Topics

6.1 Quantum Ghost Imaging

6.1.1 Conceptual Introduction

6.1.2 A Quantitative Discussion

6.2 Classical Ghost Imaging

6.3 Aberration Cancelation in Imaging

6.3.1 Odd-Order Aberration-Cancelation in Correlated-Photon Imaging

6.3.2 Two-Object Imaging

6.4 Ghost Imaging and Turbulence

6.5 Computational and Compressive Ghost Imaging

6.6 Quantum Illumination

6.7 Quantum Holography

6.8 Additional Topics in Ghost Imaging

References

7 Quantum Microscopy

7.1 Introduction

7.2 Resolution, Super-Resolution, and the Abbé Limit

7.3 The Standard Confocal Microscope

7.4 Two-Photon Excitation Microscopy

7.5 Correlations Versus Confocality

7.6 Entangled-Photon Fluorescence Microscopy

7.7 The Correlation Confocal Microscope

7.7.1 “Unfolded” Two-Sample Description

7.7.2 “Folded” Description: Reduction to One Sample

7.8 Twin-Photon Confocal Microscopy

7.8.1 Multiple Photons in Confocal Microscopy

7.8.2 The Coincidence Rate and Point Spread Function

7.9 Two-Frequency Quantum Microscope

7.10 Related Methods

References

8 Correlated and Entangled Orbital Angular Momentum

8.1 Orbital Angular Momentum in Optics

8.2 Entangled OAM in Parametric Down Conversion

8.3 Supersensitive Angular Measurement

8.3.1 Angular and Rotational Measurements

8.3.2 Rotational Measurements

8.4 Edge Contrast Enhancement

8.5 Spiral Imaging, Symmetry Detection, and Object Recognition

References

9 Quantum Communication and Cryptography

9.1 Introduction

9.2 Basic Principles

9.3 Some Discrete QKD Protocols

9.3.1 The BB84 and E91 Protocols

9.3.2 B92 Two-State Protocol

9.3.3 Six-State Protocol

9.3.4 Decoy State and SARG04 Protocols

9.4 Continuous Variable QKD Schemes

9.5 Other Protocols

9.6 Security

9.7 Related Topics

9.7.1 Quantum Bit Commitment and Quantum Oblivious Transfer

9.7.2 Quantum Secret Sharing

9.7.3 Quantum Data Locking and Quantum Enigma Machines

9.7.4 Quantum Burglar Alarm

References

Appendix A Review of Optics

A.1 Conventions

A.2 Propagation of Optical Fields

A.3 Beam Splitters

A.4 Dove Prisms

A.5 Phase Conjugate Mirrors

A.6 Laser Beam Optics

Appendix B Optical Fields in Quantum Mechanics

B.1 Fields and Quadratures

B.2 Homodyne Measurement of Field Quadratures

Appendix C Optical Effects of Aberration and Turbulence

C.1 Aberration

C.2 Turbulence

Appendix D Phase Matching in Spontaneous Parametric Down Conversion

D.1 Basics of Down Conversion

D.2 Phase Matching

D.2.1 Type II Planar Phase-Matching

D.2.2 Type I Planar Phase-Matching

D.2.3 Type II Nonplanar Phase-Matching

Appendix E Vectorial Scattering Analysis of the Twin-Photon Microscope

Index

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David Simon,Gregg Jaeger,Alexander Sergienko,Quantum Metrology,Imaging,Communication