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Two-qubit entangled state teleportation via optimal POVM and partially entangled GHZ state |
Kan Wang1( ), Xu-Tao Yu2, Zai-Chen Zhang1 |
1. National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China
2. State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China |
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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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| Keywords
probabilistic teleportation
optimal POVM
state discrimination
average fidelity
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Corresponding Author(s):
Kan Wang
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Issue Date: 10 September 2018
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