We study the non-nearest-neighbor interaction effect in 1-D spin-1/2 chain model. We show that the quantum gate deviation induced by the omitted long-range interaction depends on not only its strength but also the scale of the system. This implies that omitting the long-range interaction may challenge the scalability of previous schemes. We further propose a quantum computation scheme in which by using appropriate encoding method, we effectively negate influence of the next-nearest-neighbor interaction to improve the precision of quantum gates. We also discuss the feasibility of this scheme in 1-D Josephson charge qubit array system.
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