Bidirectional multi-qubit quantum teleportation in noisy channel aided with weak measurement**Project supported by the National Natural Science Foundation of China (Grant No. 61172071), the Scientific Research Program Funded by Shaanxi Provincial Education Department, China (Grant No. 16JK1711), the International Scientific Cooperation Program of Shaanxi Province, China (Grant No. 2015KW-013), and the Natural Science Foundation Research Project of Shaanxi Province, China

Abstract

Recently, bidirectional quantum teleportation has attracted a great deal of research attention. However, existing bidirectional teleportation schemes are normally discussed on the basis of perfect quantum environments. In this paper, we first put forward a bidirectional teleportation scheme to transport three-qubit Greenberger–Horne–Zeilinger (GHZ) states based on controled-not (CNOT) operation and single-qubit measurement. Then, we generalize it to the teleportation of multi-qubit GHZ states. Further, we discuss the influence of quantum noise on our scheme by the example of an amplitude damping channel, then we obtain the fidelity of the teleportation. Finally, we utilize the weak measurement and the corresponding reversing measurement to protect the quantum entanglement, which shows an effective enhancement of the teleportation fidelity.