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Full Description
This book provides an in-depth exploration of the mathematical and theoretical foundations of quantum teleportation. Starting with the seminal 1993 work by C. H. Bennett and colleagues, this book delves into the intricate processes that enable the transfer of quantum information using non-local quantum entangled resources. It covers a broad spectrum of teleportation protocols for single and multi-qubit systems, explores the impact of quantum noise, and presents strategies to mitigate these effects. • Detailed explanations of quantum mechanics concepts relevant to teleportation, such as qubits, entanglement, quantum evolution, noise, and measurement. • In-depth analysis of teleportation through noisy quantum channels, with models for amplitude-damping, bit-flip, phase-flip, and phase-damping noise. • Methods for minimising the effects of noise, including weak and reversal measurements and environment-assisted techniques. • Practical examples and case studies that illustrate the application of various teleportation protocols. • Comprehensive coverage of the necessary mathematics, including linear spaces, operators, tensor products, and partial trace operations. Aimed at theoretical physicists, applied mathematicians, computer scientists, and engineers, this book is both an introduction and a comprehensive guide to the field of quantum teleportation.
Contents
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
