Entanglement Swapping for Cluster-Class States and Its Applications in Quantum Information Processing |
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Authors: | Xin-Wen Wang Deng-Yu Zhang Shi-Qing Tang and Li-Jun Xie |
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Institution: | (1) Department of Physics and Electronic Information Science, and Research Institute of Photoelectricity, Hengyang Normal University, Hengyang, 421008, People’s Republic of China |
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Abstract: | Entanglement swapping for four-qubit cluster-class states is studied. It is shown that a four-qubit cluster state (maximally
entangled) can be obtained with a certain probability from two four-qubit cluster-class states by entanglement swapping. The
probability is related to the smallest superposition coefficient of the cluster-class states (when all the moduli of amplitudes
are equivalent, they are the usual cluster states and the probability hits to one). Two examples for the applications of the
entanglement swapping are also presented. One is quantum teleportation of an arbitrary two-qubit state via a quantum repeater,
in which the success probability can be improved by the entanglement swapping when the quantum channels are general cluster-class states (partially entangled). The other is quantum key distribution, in which a secret random sequence of bits
(a “key”) can be efficiently established between two distant parties by the entanglement swapping of two groups of cluster
states. |
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Keywords: | |
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