An efficient quantum algorithm for the Moebius function
Peter J. Love · arXiv (Cornell University) · 2014
We give an efficient quantum algorithm for the Moebius function $μ(n)$ 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.