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On the Existence of certain Quantum Algorithms

Quantum Physics 2009-04-14 v1

Abstract

We investigate the question if quantum algorithms exist that compute the maximum of a set of conjugated elements of a given number field in quantum polynomial time. We will relate the existence of these algorithms for a certain family of number fields to an open conjecture from elementary number theory.

Keywords

Cite

@article{arxiv.0904.1788,
  title  = {On the Existence of certain Quantum Algorithms},
  author = {Bjoern Grohmann},
  journal= {arXiv preprint arXiv:0904.1788},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-06-21T12:50:24.907Z