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arxiv: 1412.3817 · v2 · pith:E5IULWNJnew · submitted 2014-12-11 · 🪐 quant-ph

An efficient quantum algorithm for the Moebius function

classification 🪐 quant-ph
keywords algorithmefficientfunctionmoebiusquantumasymptoticallycomputationcost
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We give an efficient quantum algorithm for the Moebius function $\mu(n)$ from the natural numbers to $\{-1,0,1\}$. The cost of the algorithm is asymptotically quadratic in $\log n$ and does not require the computation of the prime factorization of $n$ as an intermediate step.

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