Prime Factorization in the Duality Computer

Physics – Quantum Physics

Scientific paper

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4 pages

Scientific paper

We give algorithms to factorize large integers in the duality computer. We
provide three duality algorithms for factorization based on a naive
factorization method, the Shor algorithm in quantum computing, and the Fermat's
method in classical computing. All these algorithms are polynomial in the input
size.

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