On Quantum Algorithms for Noncommutative Hidden Subgroups

  title={On Quantum Algorithms for Noncommutative Hidden Subgroups},
  author={Mark Ettinger and Peter H\oyer},
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
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