An Introduction to Quantum Communication by Mishra, Vinod K. -- Read -- Imperial Library of Trantor

Index

Half Title Page Title Page Copyright Page Dedication Contents LIST OF FIGURES 1. WHY QUANTUM COMMUNICATION?

1.1 Classical Communication and Its Limits

Concept of Probability Distribution Information or Shannon Entropy Shannon-Hartley Theorem Noisy-Channel Coding Theorem Limits of Classical Communication

1.2 Role of Quantum Communication

2. PHYSICAL BASIS OF QUANTUM COMMUNICATION

2.1 Basic Quantum Mechanics for QC

Wave function Schrödinger’s Equation Bra and Ket Probability Function Superposition Principle

2.2 Einstein–Podolsky–Rosen Paradox 2.3 Some Inequalities 2.4 Idea of Entanglement 2.5 Quantum Zeno Effect 2.6 Decoherence 2.7 Propagation of Light in an Optical Fiber

3. INFORMATION THEORY FOR QUANTUM COMMUNICATION

3.1 Mathematical Representation of a Single Qubit 3.2 Entropies for Information

Von Neumann Entropy Shannon Entropy Renyi Entropy Collision Entropy Min-Entropy Tsallis Entropy Sharma-Mittal Entropy

3.3 Shannon-like Capacity Theorems for QC 3.4 No-Go Theorems for Qubits 3.5 A General Model for Quantum Communication 3.6 Entanglement Measures 3.7 Entanglement Processing Appendix 3A: Special 3-qubit Quantum States Appendix 3B: Peres-Horodecky Criterion Appendix 3C: Von Neumann Entropy Appendix 3D: Other Information Entropies

4. QUANTUM ERROR CORRECTION CODING AND CRYPTOGRAPHY

4.1 Need for Coding in Communication

Source Coding (Classical) Channel Coding (Classical)

4.2 Source Coding (Quantum) 4.3 Error Correction Coding (Quantum): An Example 4.4 General Error Correction Coding (Quantum) 4.5 Cryptography: Classical and Quantum 4.6 A QKD Protocols Based on Heisenberg Uncertainty Principle 4.7 A QKD Protocol based on Entanglement 4.8 Practical QKD

5. QUANTUM COMMUNICATION NETWORK (QCN)

5.1 A Review of Classical Communication Network 5.2 Basic QCN Architecture 5.3 Quantum Teleportation 5.4 Quantum Super-dense Coding 5.5 Quantum Repeater Network 5.6 Software Defined Quantum Networking

6. PHYSICAL REALIZATION OF QUANTUM COMMUNICATION NETWORK

6.1 Flying Qubit Sources 6.2 Stationary Qubit Sources 6.3 Qubit Detection and Measurement 6.4 Quantum Repeater (QR) 6.5 Distributed Quantum Nodes Appendix 6A: Stationary Qubit Source Technologies

REFERENCE INDEX