Mathematical Theory of Quantum Teleportation Protocols

1. Linear Spaces and Operators. 2. Classical Bits and Classical Gates. 3. Essentials From Quantum Physics. 4. Entanglement. 5. Density Matrix. 6. Quantum Noise. 7. Quantum Communication System. 8. Teleportation of Single-qubit Quantum States. 9. Teleportation Protocol of Multi-qubit States 10. Bidirectional Teleportation Protocols 11. Controlled Teleportation Protocols 12. Multi-hop Teleportation Schemes 13. Probabilistic Teleportation Protocols 14. Teleportation Under Noisy Environments 15. Control of Noise in Teleportation Processes Appendix A: Remote State Preparation scheme of single-qubit state Appendix B: Joint remote state preparation protocol of single-qubit state Appendix C: Hybrid bi-directional communication protocol References Index

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quantum information theory;noisy quantum channels;multi-qubit systems;amplitude damping model;weak measurement techniques;linear algebra operators;advanced quantum state transfer protocols