Controlled teleportation of an unknown 3D two-particle state via 3D partially entangled states

Abstract

A scheme is presented to realize the controlled teleportation of an unknown three dimensional (3D) two-particle state by using a non-maximally entangled two-particle state and a non-maximally entangled three-particle state in the 3D space as the quantum channels, and one of the particles in the channels is used as the controlled particle. Analysis shows that when the quantum channels are of maximal entanglement, namely the channels are composed of a 3D Bell state and a 3D GHZ state, the total success probability of the controlled teleportation can reach 1. And this scheme can be expanded to control the teleportation of an unknown D-dimensional two-particle state.Since the seminal work of Bennett et al [1] , the quantum teleportation has been paid much attention due to its important applications in quantum computation and quantum communication. A lot of protocols about teleportation have been experimentally demonstrated in optical discrete-variable and continuous-variable systems [2][3][4][5][6] , liquid nuclear magnetic resonance technique [7] , and trapped ion system [8,9] , etc. in recent years. Zhang et al [10] have reported the experimental teleportation of a quantum state composed of a twoparticle composite system. But the quantum teleportation of the N-particle D-dimensional state is very pop for this state is useful for a large-scale realization of quantum information processing. By far, a large number of theoretical protocols for teleporting an unknown state via various kinds of entangled channels have been presented [11][12][13][14][15][16][17][18][19][20][21][22] . However, no scheme has been reported for controlled teleportation of an unknown two-particle 3D entangled state by using partially entangled states in the 3D space as the quantum channels.In this paper, we propose a scheme to realize the controlled teleportation of an unknown 3D two-particle state by performing two generalized Bell-state measurements (BSMs) and a separated measurement (SM) on the controlled particle in the basis 3 2 3 1 3 0 , , by introducing an assisted three-state particle [23] and two unitary transformations U tel.1 and U tel.2 . Besides, we obtain the success probability of the controlled teleportation in the teleportation process. It is shown that the total success probability can arrive at 1 if the quantum channels consist of the 3D Bell state and the 3D GHZ state.Suppose that the sender Alice possesses an unknown twoparticle in the 3D entangled state and wants to teleport it to the receiver Charlie with the cooperation of the controller Bob.