Using Lyapunov function approach,some sufficient conditions about the existence and global asymptotic stabilit...
Zhongjun Ma~(1,2),Yi Wang~3,Xianhua Tang~1,Ying Guo~1 1.School of Mathematical Science and Computing Technology, Central South University,Changsha,410083,China
In this paper, we describe an improved cooperative two-way quantum communication scheme that works in a forward-and-backward fashion. In this scheme, partial entanglement analysis based on five-qubit entangled Brown state allows for the simultaneous exchange of arbitrary unknown states between Alice and Bob （with the help of trusted Charlie）. Security is guaranteed because opposing unknown states are transmitted by performing the suitable recovery operations in a deterministic way or, in the case of irregularities, no results are generated. The current two-way quantum communication scheme can also be extended to transmit arbitrary unknown states. This is done in a probabilistic way by using two-way quantum teleportation based on the generalized Brown-like state.
