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Carmichael Numbers on a Quantum Computer

A. Carlini·A. Hosoya
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Abstract

We present a quantum probabilistic algorithm which tests with a polynomial computational complexity whether a given composite number is of the Carmichael type. We also suggest a quantum algorithm which could verify a conjecture by Pomerance, Selfridge and Wagstaff concerning the asymptotic distribution of Carmichael numbers smaller than a given integer.

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A. Carlini, A. Hosoya. 1999-08-05. Carmichael Numbers on a Quantum Computer. https://arxiv.org/abs/quant-ph/9908022

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