Quantum Property Testing for Solvable Groups

Yoshifumi Inui

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Quantum Property Testing for Solvable Groups

Yoshifumi Inui

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Abstract

Property testing has been extensively studied and its target is to determine whether a given object satisfies a certain property or it is far from the property. In this paper, we construct an efficient quantum algorithm which tests if a given quantum oracle performs the group multiplication of a solvable group. Our work is strongly based on the efficient classical testing algorithm for Abelian groups proposed by Friedl, Ivanyos and Santha. Since every Abelian group is a solvable group, our result is in a sense a generalization of their result.

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Yoshifumi Inui. 2006-10-03. Quantum Property Testing for Solvable Groups. https://arxiv.org/abs/quant-ph/0610013

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