English

Finding hidden Borel subgroups of the general linear group

Quantum Physics 2011-05-24 v1

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.

Keywords

Cite

@article{arxiv.1105.4416,
  title  = {Finding hidden Borel subgroups of the general linear group},
  author = {Gábor Ivanyos},
  journal= {arXiv preprint arXiv:1105.4416},
  year   = {2011}
}

Comments

12pt, 10 pages

R2 v1 2026-06-21T18:10:56.330Z