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Quantum Simulation Quantum State Preparation Representation

A quantum polylog algorithm for non-normal maximal cyclic hidden subgroups in the affine group of a finite field

arXiv
Authors: Nolan Wallach

Year

2013

Paper ID

33335

Status

Preprint

Abstract Read

~2 min

Abstract Words

53

Citations

N/A

Abstract

We give an algorithm to solve the quantum hidden subgroup problem for maximal cyclic non-normal subgroups of the affine group of a finite field (if the field has order q then the group has order q(q-1)) with probability 1-varepsilon with (polylog) complexity O\(log(q\)Rlog\(varepsilon\)2) where R<infty.

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  • We give an algorithm to solve the quantum hidden subgroup problem for maximal cyclic non-normal subgroups of the affine group of a finite field (if the field has order q then...

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