Carmichael Numbers on a Quantum Computer

Details Carmichael Numbers on a Quantum Computer Carmichael Numbers on a Quantum Computer

1999-08-05

arxiv.org/abs/quant-ph/9908022v1

Physics

Quantum Physics

7 pages, Latex/REVTEX file

Scientific paper

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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