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International Journal of Theoretical Physics

Remote Preparation of General One-, Two- and Three-Qubit States via χ-Type Entangled States

Peng Jia-yin

Published Nov 4, 2020• 12 citations
Publisher
DOI
10.1007/s10773-020-04632-9

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Hierarchically controlled remote preparation of an arbitrary single-qubit state by using a four-qubit ∣χ⟩|\chi \rangle ∣χ⟩ | χ ⟩ entangled state
The application of χ state are investigated in remote state preparation (RSP). By constructing useful measurement bases with the aid of Hurwitz matrix equation, we propose several RSP schemes of arbitrary two- and three-qubit states via the χ state as the entangled resource. It is shown that the original state can be successfully prepared with the probability 100% and 50% for real coefficients and complex coefficients, respectively. For the latter case, the special ensembles with unit success probability are discussed by the permutation group. It is worth mentioning that the novel measurement bases have no restrictions on the coefficients of the prepared state, which means that the proposed schemes are more applicable.