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arXiv · 1105.4416

Finding hidden Borel subgroups of the general linear group

Gábor Ivanyos
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Abstract

We present a quantum algorithm for solving the hidden subgroup problem in the general linear group over a finite field where the hidden subgroup is promised to be a conjugate of the group of the invertible lower triangular matrices. The complexity of the algorithm is polynomial when size of the base field is not much smaller than the degree.

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Gábor Ivanyos. 2011-05-23. Finding hidden Borel subgroups of the general linear group. https://arxiv.org/abs/1105.4416

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