Research On Quantum Teleportation Of Cluster State

Quantum information can be used as a broad catch-all for all manner of operations that might be interpreted as related to information processing using quantum mechanics. This use encompasses subjects such as quantum computation, quantum teleportation, the no-cloning theorem and so on. Quantum teleportation is one of the simplest subjects in the quantum information. It is greatly important to help people know the secret regular of nature in physical field. If the technology of quantum teleportation is realized, it will be applied in quantum computation and quantum communication. Since Bennett et al. presented the first quantum teleportation protocol in 1993, lots of quantum teleportation schemes have been presented by many groups. In this paper, four general quantum teleportation schemes with four-qubit cluster state are described, which are easier to realize and more convenient to apply to quantum computation than other quantum teleportation schemes.Scheme 1, we investigate a process of quantum teleportation that Alice teleports an unknown four-particle entangled cluster state to a distance receiver Bob through four two-particle the most entangled state quantum channels. As the property of four-particle cluster state, the receiver Bob can receive the unknown state coming from Alice only to implement 64 kinds of local unitary transformations, thereby quantum teleportation of four-particle cluster state can be realized.Scheme 2, a general scheme for controlled teleportation of an arbitrary single-qubit state with four-qubit cluster state is proposed. For an arbitrary single-qubit state, the sender Alice performs Bell-state measurement on her qubits and the controllers need also take Bell-state measurement. The receiver David can reconstruct the unknown signal state by performing appropriate unitary operations on her particle if she cooperates with all the controllers.Scheme 3, a new scheme for controlled teleportation of an arbitrary single-qubit state with four-qubit cluster state is proposed. For an arbitrary single-qubit state, the sender performs Bell-basis measurement on her qubits and the controller performs measurement under a non-maximal entangled Bell-basis. Then the receiver introduces an auxiliary particle and performs an appropriate unitary transformation on his particles if she cooperates with the controller. Finally the receiver can reconstruct the unknown signal state by performing a local measurement on auxiliary particle by an appropriate unitary transformation. Scheme 4, a general scheme for controlled teleportation of an unknown two-qubit entangled state with four-qubit cluster state is proposed. The sender performs a measurement by three particles entangled basis on her own three qubits and the controller needs also take a local measurement. The receiver can reconstruct the unknown state teleported by the sender by performing appropriate unitary operations on his particles if he cooperates with the controller, then the controlled teleportation is accomplished.