The Study Of Quantum Teleportation In High-Dimensional Hilbert Space

Quantum information theory is new research field that brings toge-ther disciplines of quantum mechanics and information science. Over thepast decade, this subject has developed into a significant and vigorousfield of research. Quantum communication is one of the most importantbranch of quantum information theory, and embraces quantum telepor-tation, quantum dense coding, quantum key distribution and so on. Quan-tum teleportation is one of the most attractive fields in quantum commu-nication. It is the most tangible manifestation of quantum nonlocality, andplays important roles in other field of quantum information theory.Recently, great interest has been absorbed to study quantum infor-mation in high-dimensional Hilbert spaces. We also make some study inthis field. At first, we propose a method for teleporting an multi-qudit en-tangled state, then we do deeply research on controlled teleportation, anddesign a scheme for teleporting multi-qudit state in quantum network co-ntrolled by by N agents efficiently.The thesis consists of five chapters. In the first chapter, we depict thedevelopment history and the latest progress in the field of quantum tele-portation. In the second chapter, we introduce some type teleportation s-chemes in qubit space, and testify the maximum success probability whenthe quantum channel is partially entangled state. In the third chapter, wealso firstly introduce some type qudit teleportation, and then discuss theteleportation of multi-qudit entangled state, summarizing the best appro-ach and the maximum success probability. In the forth chapter, we intro-duce the basic principle and schemes of controlled teleportation, then wedetailedly explain the efficiently controlled teleportation schemes in qubitand qudit spaces respectively. In the fifth chapter, we give a summary andan outlook of teleportation.