Two-qubit entangled state teleportation via optimal POVM and partially entangled GHZ state  

作　　者：Kan Wang Xu-Tao Yu Zai-Chen Zhang 

机构地区：[1]National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China [2]State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China

出　　处：《Frontiers of physics》2018年第5期251-258,共8页物理学前沿（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China （Grant No. 61601120）; China Postdoctoral Science Foundation （Grant No. 2016M591742）; and Jiangsu Planned Projects for Postdoctoral Research Funds （Grant No. 1601166C）.

摘　　要：Quantum teleportation is of significant meaning in quantum information. In this paper, we study the probabilistic teleportation of a two-qubit entangled state via a partially entangled Greenberger- Horne-Zeilinger （GHZ） state when the quantum channel information is only available to the sender. We formulate it as an unambiguous state discrimination problem and derive exact optimal positive-operator valued measure （POVM） operators for maximizing the probability of unambiguous discrimination. Only one three-qubit POVM for the sender, one two-qubit unitary operation for the receiver, and two chits for outcome notification are required in this scheme. The unitary operation is given in the form of a concise formula, and the fidelity is calculated. The scheme is further extended to more general case for transmitting a two-qubit entangled state prepared in arbitrary form. We show this scheme is flexible and applicable in the hop-by-hop teleportation situation.Quantum teleportation is of significant meaning in quantum information. In this paper, we study the probabilistic teleportation of a two-qubit entangled state via a partially entangled Greenberger- Horne-Zeilinger （GHZ） state when the quantum channel information is only available to the sender. We formulate it as an unambiguous state discrimination problem and derive exact optimal positive-operator valued measure （POVM） operators for maximizing the probability of unambiguous discrimination. Only one three-qubit POVM for the sender, one two-qubit unitary operation for the receiver, and two chits for outcome notification are required in this scheme. The unitary operation is given in the form of a concise formula, and the fidelity is calculated. The scheme is further extended to more general case for transmitting a two-qubit entangled state prepared in arbitrary form. We show this scheme is flexible and applicable in the hop-by-hop teleportation situation.

关 键 词：probabilistic teleportation optimal POVM state discrimination average fidelity 

分 类 号：TP332[自动化与计算机技术—计算机系统结构] O413.1[自动化与计算机技术—计算机科学与技术]