Probabilistic Teleportation Of An Arbitrary Multi-particle Quantum State

We propose schemes to probabilistically teleport an arbitrary and unknown multi-particle state. At first, we propose a scheme to probabilistically teleport an arbitrary and unknown two-particle state by using a three-particle non-maximally entangled GHZ state and a two-particle non-maximally entangled state with three parties involved. Then we propose a scheme to probabilistically teleport an arbitrary and unknown three-particle state by using a three-particle non-maximally entangled GHZ state and two two-particle non-maximally entangled state with three parties involved. Last, we generalize the two schemes. We generalize the schemes first to probabilistically teleport an arbitrary and unknown N-particle state by using a three-particle non-maximally entangled GHZ state and N — 1 two-particle non-maximally entangled state with three parties involved, then to probalistically teleport an arbitrary and unknown N-particle state via a K-particle non-maximally entangled GHZ state and N—1 two-particle non-maximally entangled state with K parties involved. We increase the probability of teleportion by selecting the quantum channels in this paper, in addition, the selection of the channels in this paper simplifies the unitary transformations and makes the schemes easy to generalize.