Countinuous Quantum Hidden Subgroup Algorithms

Details Countinuous Quantum Hidden Subgroup Algorithms Countinuous Quantum Hidden Subgroup Algorithms

2003-04-11

arxiv.org/abs/quant-ph/0304084v2

Physics

Quantum Physics

9 pages, no figures, table of contents included

Scientific paper

10.1117/12.487763

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 L^2 paths x:[0,1]-->R^n in real n-space R^n. Also included is a curious discrete QHS algorithm which is dual to Shor's algorithm.

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