4 August 2003 Continuous quantum hidden subgroup algorithms
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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 R mod 1, i.e., the circle, and the additive group Paths of L2 paths x:[0,1] → Rn in real n-space Rn.
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Samuel J. Lomonaco, Samuel J. Lomonaco, Louis H. Kauffman, Louis H. Kauffman, } "Continuous quantum hidden subgroup algorithms", Proc. SPIE 5105, Quantum Information and Computation, (4 August 2003); doi: 10.1117/12.487763; https://doi.org/10.1117/12.487763
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