Controlled Quantum Teleportation Via A Three-particle Entangled State

Quantum information science is a cross-discipline of computer science, physics, mathematics and informatics, it brings a new direction of information processing and communications and gives the information theory experts and computer scientists a new field worth exploring. Quantum teleportation, which is one aspect of quantum information, plays a significant role in quantum communication and quantum information and has been extensively studied in various aspects. Quantum teleportation has been demonstrated by several experimental groups.ecently, people pay more attention on controlled quantum teleportation. One uses a three-particle entangled state to realize controlled quantum teleportation, that is, to replace EPR pairs by a three-particle entangled state to transfer an unknown state. Controlled quantum teleportation is useful in many fields, such as quantum information processing, quantum cryptography, quantum secure direct communication and so on. In this article we discuss how a three-particle quantum entangled state controls the quantum teleportation and also discuss the successful probability of quantum teleportation.In the first chapter, we first describe some basic quantum gates of quantum circuit, and introduce the process of quantum teleportation, which is a technique for moving unknown quantum states from a sender of the quantum state to a receiver. Then, we describe a quantum teleportation protocol via a three-particle entangled state.The second chapter introduces some concepts for analyzing the quantum teleportation, reduced density operator and Schmidt decomposition. Reduced density operator is very useful, and plays a crucial role for the analysis of composite quantum systems. Also in the controlled quantum teleportation, the Schmidt decomposition is an indispensable tool.The third chapter calculates and transforms a three-particle entangled state selected into a form of Schmidt decomposition in composite system and how to use this state to realize controlled quantum teleportation. The last part discusses the successful probability of the controlled quantum teleportation.