Abstract
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 cbits 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.
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Acknowledgements
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).
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Wang, K., Yu, XT. & Zhang, ZC. Two-qubit entangled state teleportation via optimal POVM and partially entangled GHZ state. Front. Phys. 13, 130320 (2018). https://doi.org/10.1007/s11467-018-0832-9
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DOI: https://doi.org/10.1007/s11467-018-0832-9