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A compact quantum circuit for implementing the $$\hbox {(SWAP)}^a$$ (SWAP) a gate for $$0<a\le 1$$ 0 < a ≤ 1 on two diamond nitrogen-vacancy centers (NV) is designed by using some input–output processes of a single photon. Our proposal is interesting because the $$\hbox {(SWAP)}^a$$ (SWAP) a gate is universal for quantum computing, and the diamond NV center has...
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