On the complexity of the hidden subgroup problem

被引：0

作者：

Fenner, Stephen ^{[1
]}

Zhang, Yong ^{[2
]}

机构：

[1] Univ South Carolina, Dept Comp Sci & Engn, Columbia, SC 29208 USA

[2] Eastern Mennonite Univ, Dept Math Sci, Harrisonburg 22802, VA USA

来源：

THEORY AND APPLICATIONS OF MODELS OF COMPUTATION, PROCEEDINGS | 2008年 / 4978卷

关键词：

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that several problems that figure prominently in quantum computing, including HIDDEN COSET, HIDDEN SHIFT, and ORBIT COSET, are equivalent or reducible to HIDDEN SUBGROUP. We also show that, over permutation groups, the decision version and search version of HIDDEN SUBGROUP are polynomial-time equivalent. For HIDDEN SUBGROUP over dihedral groups, such an equivalence can be obtained if the order of the group is smooth. Finally, we give nonadaptive program checkers for HIDDEN SUBGROUP and its decision version.

引用

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页码：70 / +

页数：3

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