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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.
Overall features of this book are the following:
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 amplitudedamping, bit-flip, phase-flip, and phase-damping noise
Methods for minimizing the effects of noise, including weak and reversal measurements and environment- assisted techniques
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
Primarily aimed at theoretical physicists, applied mathematicians, computer scientists, and engineers belonging to all branches of electrical technology, this book is both an introduction and a comprehensive guide to the field of quantum teleportation. It will also be beneficial to the interested scientientists and professionls belonging to physical chemistry, material science and information technology.
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
