On Quantum Algorithms for Noncommutative Hidden Subgroups

@inproceedings{Ettinger1999OnQA,
  title={On Quantum Algorithms for Noncommutative Hidden Subgroups},
  author={Mark Ettinger and Peter H\oyer},
  booktitle={STACS},
  year={1999}
}
Quantum algorithms for factoring and discrete logarithm have previously been generalized to finding hidden subgroups of finite Abelian groups. This paper explores the possibility of extending this general viewpoint to finding hidden subgroups of noncommutative groups. We present a quantum algorithm for the special case of dihedral groups which determines the hidden subgroup in a linear number of calls to the input function. We also explore the difficulties of developing an algorithm to process… CONTINUE READING
Highly Influential
This paper has highly influenced 17 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 146 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 90 extracted citations

147 Citations

01020'98'02'07'12'17
Citations per Year
Semantic Scholar estimates that this publication has 147 citations based on the available data.

See our FAQ for additional information.

Similar Papers

Loading similar papers…