A Note on Shor’s Quantum Algorithm |
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引用本文: | 曹正军,刘丽华.A Note on Shor’s Quantum Algorithm[J].上海交通大学学报(英文版),2006(3). |
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作者姓名: | 曹正军 刘丽华 |
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作者单位: | Dept. of Mathematics Shanghai Univ. Shanghai 200444 China,Dept.of Mathematics,Shanghai Jiaotong Univ.,Shanghai 200240,Dept.of Information and Computation Science Shanghai Maritine Univ. Shanghai 200135 |
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摘 要: | Introduction Factoring integers is generally thought to behard on a classical computer. But it is now heldthat prime factorization can be accomplished inpolynomial time on a quantum computer. This re-markable work is due to Shor1]. For a given num-ber n, he gave a quantum computer algorithm forfinding the order r of an element x (mod n) insteadof giving a quantum computer algorithm for factor-ing n directly. The indirect algorithm is feasiblebecause factorization can be reduced to finding th…
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