Abstract

Employing the χ states, which are four-qubit genuine entangled states, we put forward three novel protocols for preparing general sing- two- and three-qubit state by using local operation and classical communication, and their probabilities of success achieve 100% by constructing sets of ingenious measurement bases at the sender’s locations. In the first scheme, after two single-qubit projective measurements performed by the sender, anyone of the three agents can reconstruct the original general single-qubi state with the help of other agents. In the second and third scheme, by implementing the two-step projective measurement under other novel sets of two-qubit measurement bases, the sender can help the receiver to prepare the general two- and three-qubit states respectively. After analyzing the resource consumption, the complexity of quantum operation, the success probability and the efficiency of these schemes, we find that the second and third scheme have more advantages than the existing similar scheme that employs χ-type state as quantum channel. In addition, it is pointed out that our schemes are safe and feasible with the support of current technologies.

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