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.
Table of 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
About the Author :
Binayak S. Choudhury is a Professor of Mathematics at the Indian Institute of Engineering Science and Technology, Shibpur, India. He has more than three decades of research and teaching experience, in which more than two decades have been in the position of Full Professor. He has wide research interests in several topics of Pure and Applied Mathematics, Theoretical Physics and Decision Sciences. He has published more than 300 research articles and guided 26 research students for Ph.D. degree. He has handled several Research Projects as a Principal Investigator. He has travelled widely across the world in connection with research work. Particularly, his contributions to Quantum Information Theory over about two decades have been commendable.
Soumen Samanta is currently an Assistant Professor of Mathematics in the Department of Applied Science at Haldia Institute of Technology, West Bengal, India. Before that, he has served as an Assistant Professor of Mathematics at IIEST, Shibpur, India, on a contractual basis. He has experience in teaching mathematics at Undergraduate and Postgraduate levels. He has obtained his Master of Science degree from the University of Calcutta, India and Ph.D. degree in the field of Quantum Information Theory from IIEST, Shibpur, India. Dr. Samanta has specialized in the Theory of Quantum Communication particularly in Quantum Teleportation, Quantum Remote State Preparation, Quantum Walk, etc. Dr. Samanta has contributed significantly to the field of Quantum Information Theory through more than 30 research articles. He has also served as a reviewer for different journals.
