Probabilistic Teleportation Of Unknown Multi-Particle State Via Cluster State

As a hot topic of quantum information, Transmitting an unknown particle from one place to another through the entangled state and classical channel shared by sender and receiver is the basic idea. In this thesis, combining with a variety of different quantum resources and measurement methods, we mainly discuss and put forward information transmission schemes. The main work and innovations in our thesis are as follows:(1) We propose a new protocol that four-particle cluster state helps to transmit an unknown three-particle W state and an arbitrary three-particle state with probability. The former uses two Bell measurements and one Hadamard operation, and introduces auxiliary particle to deal with the distortion state, the operation of this method is simple and is easily realized. The later directly utilizes three Bell measurements and employs diagonal projection transformation matrix to manage the distortion state, this method can save more resources.(2)We consider three probabilistic teleportation protocols to transmit an unknown fourparticle GHZ state using four-particle cluster state, five-particle cluster state, six-particle cluster state as the transmission channels. In the first scheme, all information of the unknown four-particle GHZ state is transferred to a single-particle state, then the sender transmits the information to the receiver in the form of transmitting the single particle. In the second and the third scheme, the senders directly make Bell-state or single-particle measurement. On the processing of distortion state, all the three schemes introduce auxiliary particles to reconstruct the unknown four-particle GHZ state.