Efficient Quantum Algorithms for Estimating Gauss Sums

  title={Efficient Quantum Algorithms for Estimating Gauss Sums},
  author={Wim van Dam and Gadiel Seroussi},
We present an efficient quantum algorithm for estimating Gauss sums over finite fields and finite rings. This is a natural problem as the description of a Gauss sum can be done without reference to a black box function. With a reduction from the discrete logarithm problem to Gauss sum estimation we also give evidence that this problem is hard for classical… CONTINUE READING