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Table of Contents
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
Schr̲ödinger'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.
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
Schr̲ödinger'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.