Continuous Quantum Hidden Subgroup Algorithms

Abstract

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 Rmod 1, i.e., the circle, and the additive group Paths of L paths x : [0, 1] → R in real n-space R. Also… (More)

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