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We give an algorithm for the hidden subgroup problem for the dihedral group $D_N$, or equivalently the cyclic hidden shift problem, that supersedes our first algorithm and is suggested by Regev's algorithm.
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1992
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Miklós Ajtai, Ravi Kumar, and Dandapani Sivakumar, A sieve algorithm for the shortest lattice vector problem , Proceedings of the thirty-third annual ACM symposium on Theory of computing, 2001, pp. 601–610
2001
Earlier work this paper cites.
Michelangelo Grigni, Leonard J. Schulman, Monica Vazirani, and Umesh V. Vazirani, Quantum mechanical algorithms for the nonabelian hidden subgroup problem , ACM Symposium on Theory of Computing, 2001, pp. 68–74
2001
Cited alongside, same era.
Greg Kuperberg, A subexponential-time quantum algorithm for the dihedral hidden subgroup problem , SIAM J. Comput. 35
2005
Cited alongside, same era.
Gilles Brassard, Peter Høyer, and Alain Tapp, Quantum algorithm for the collision problem , eprint arXiv:quant-ph/9705002
Cited in the paper.
Cited in the paper.
Oded Regev, A subexponential time algorithm for the dihedral hidden subgroup problem with polynomial space , eprint arXiv:quant-ph/0406151
Cited in the paper.
Andris Ambainis, Quantum walk algorithm for element distinctness , SIAM J. Comput. 37
2007
Later among the works it cites.
2008
Later among the works it cites.
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