Controlled Quantum Teleportation Of Arbitrary Two-ion State And Remote Preparation Of Four-particle Cluster-type State

In this work, we proposed a scheme to realize controlled teleportation of an arbitrary two-ion state by using a five-ion cluster state in ion-trap system. In comparison with the previous scheme, the main advantages of the present one is that our scheme does not involve Bell-state measurement and the ions are simultaneously excited by a laser, so it is insensitive to both the initial vibrational state and heating.Two schemes of remote preparation of a real or complex coefficients four-particle cluster-type state using two three-particle GHZ state as the quantum channel are proposed in this paper. For the four-particle cluster-type state with real coefficients, a deterministic remote preparation scheme is put forward. In this scheme, firstly, two three-particle GHZ state are used as the quantum channel. Then a two-particle projective measurement should be performed by Alice. After that Alice tell her measurement result to Bob. Finally Bob can prepare the target state by performing an appropriate unitary operation with probability 1. For the more general four-particle cluster-type state with complex coefficients, another scheme is proposed, witch can successfully prepare the target state with probability 25%. And the probability of success can reach up to 50% or even 1 in some special cases. The classical communication costs in different cases are discussed too. The classical resources and quantum resources in this paper are all realizable under the present technologies. So our schemes might be realizable based on present experimental technology.