1 Shor P W. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J Comput, 1997, 26:1484-1509??
[2]
2 Grover L K. A fast quantum mechanics algorithm for database search. In: Proceeding of the 28th ACM Symposium on Theory ofComputation. New York: ACM Press, 1996. 212-219
[3]
8 He Y G, Sun J G. Complete quantum circuit of HAAR wavelet based MRA. Chinese Sci Bull, 2005, 50: 1796-1798??
[4]
9 Cao Y, Peng S G, Zgeng C, et al. Quantum Fourier transform and phase estimation in qudit system. Commun Theor Phys, 2011, 55:790-794??
[5]
10 Wang X, Bao W S, Fu X Q. A quantum algorithm for searching a target solution of fixed weight. Chinese Sci Bull, 2011, 56: 484-488??
[6]
12 Lieven M K V, Matthias S, Gregory B, et al. Experimental realization of Shor's quantum factorization algorithm using nuclear magneticresonance. Nature, 2001, 414: 883-887??
[7]
15 Zalka C. Fast versions of Shor's quantum factoring algorithm. Arxiv: quant-ph/9806084v1, 1998
[8]
17 Griffiths R B, Niu C S. Semiclassical Fourier transform for quantum computation. Phys Rev Lett, 1996,76: 3228-3232??
[9]
18 Parker S, Plenio M B. Efficient factorization with a single pure qubit and logN mixed qubits. Phys Rev Lett, 2000, 85: 3048-3052
[10]
19 Fu X Q, Bao W S, Zhou C. Speeding up implementation for Shor's factorization quantum algorithm. Chinese Sci Bull, 2010, 55:3648-3653??
[11]
20 Kenji K, Yukio T. Speeding up elliptic cryptosystems using a signed binary window method. In: Proceeding of the 12th AnnualInternational Cryptology Conference on Advances in Cryptology. Berlin: Springer-Verlag, 1993. 345-357
[12]
3 Long G L, Xiao L. Parallel quantum computing in a single ensemble quantum computer. Phys Rev A, 2004, 69: 052303??
[13]
4 Zhong P C, Bao W S. Quantum mechanical meet-in-the-middle search algorithm for triple-DES. Chinese Sci Bull, 2010, 55: 321-325??
[14]
5 Gao F, Guo F Z, Wen Q Y, et al. Revisiting the security of quantum dialogue and bidirectional quantum secure direct communication. SciChina Ser G-Phys Mech Astron, 2008, 51: 559-566??
[15]
6 Chen W, Han Z F, Mo X F, et al. Active phase compensation of quantum key distribution system. Chinese Sci Bull, 2008, 53: 1310-1314??
[16]
7 Fang X M, Zhu X W, Hong M, et al. Realization of quantum discrete Fourier transform with NMR. Chinese Sci Bull, 2000, 45:1071-1075??
[17]
11 Zhou C, Bao W S, Fu X Q. Decoy-state quantum key distribution for the heralded pair coherent state photon source with intensityfluctuations. Sci China Infor Sci, 2010, 53: 2485-2494??
[18]
13 Vedral V, Barenco A, Ekert A. Quantum networks for elementary arithemetic operations. Phys Rev A, 1996, 54: 147-153??
[19]
14 Beckman D, Chari A N, Devabhaktuni S, et al. Efficient networks for quantum factoring. Phys Rev A, 1996, 54: 1034-1063??
[20]
16 Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. London: Cambridge University Press, 2000