Countinuous Quantum Hidden Subgroup Algorithms
量子物理
2009-11-10 v2
摘要
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.
引用
@article{arxiv.quant-ph/0304084,
title = {Countinuous Quantum Hidden Subgroup Algorithms},
author = {Samuel J. Lomonaco and Louis H. Kauffman},
journal= {arXiv preprint arXiv:quant-ph/0304084},
year = {2009}
}
备注
9 pages, no figures, table of contents included