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Highly efficient remote preparation of an arbitrary three-qubit state via a four-qubit cluster state and an EPR state

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Abstract

An efficient protocol for remotely preparing an arbitrary three-qubit state is devised with a four-qubit cluster state and an Einstein–Podolsky–Rosen state as the shared quantum resource. Using an appropriate set of eight-qubit mutually orthogonal measurement basis, the remote three-qubit preparation is successfully completed with the probability of \({\frac{1}{8}}\) in general case. Then to achieve our concerns of improving the probability of this protocol, some special ensembles of three-qubit states are minutely investigated. As a result, it is shown that the total probability of the RSP protocol, in these particular cases, can be improved to \({\frac{1}{4}}\) and \({\frac{1}{2}}\), respectively, or even that the RSP protocol can be realized with unit success probability.

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Correspondence to Zhang-yin Wang.

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Wang, Zy. Highly efficient remote preparation of an arbitrary three-qubit state via a four-qubit cluster state and an EPR state. Quantum Inf Process 12, 1321–1334 (2013). https://doi.org/10.1007/s11128-012-0474-8

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