Continuous quantum hidden subgroup algorithms
Samuel J. Lomonaco, Louis Hirsch Kauffman · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2003
In this paper we show how to construct two continuous variable and one continuous functional quantum hidden subgroup (QHS) algorithms. These are respectively quantum algorithms on the additive group of reals R, the additive group R/Z of the reals R mod 1, i.e., the circle, and the additive group Paths of L2 paths x:[0,1] → Rn in real n-space Rn.