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Prime Factorization in the Duality Computer

Wan-Ying Wang, Bin Shang, Chuan Wang, Gui Lu Long

quant-pharXiv:quant-ph/0607026

Abstract

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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