An efficient scheme of general deterministic teleportation of GHZ-like state in a network

We present an efficient and economic approach to faithfully teleport a multi-partite state in a network composed of various probabilistic channels involving multi spatially remote agents. In this scheme, if quantum states can be rewritten as GHZ-like state, it is possible to transfer it with minimal qubit resource and classical communication cost via GHZ channels. Then, in order to realize a faithful teleportation we propose a scheme for constructing a faithful GHZ channel between the sender and the distant receiver with the assistance of relay agents linked by various probabilistic channels. Our results show that the required auxiliary particle resources, local operations and classical communications are considerably reduced for the present purpose.