An upsampling-based divide-and-conquer circuit for quantum state preparation of probability distributions is derived, but the discrete-distribution extension is not correctly normalized and the method is not novel.
P(kn−1) ∞X j=−∞ e−(w2/8ϵ2)[2j+(in−kn−1)/2n−1] 2 + (1− P(kn−1)) ∞X j=−∞ e−(w2/8ϵ2)[2j−1+(in−kn−1)/2n−1] 2 #)−1 . (A3) Substituting (A3) into (A1) gives ξn(in) = X kn−1
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Application of an upsampling algorithm to quantum state preparation of continuous and discrete probability distributions
An upsampling-based divide-and-conquer circuit for quantum state preparation of probability distributions is derived, but the discrete-distribution extension is not correctly normalized and the method is not novel.