Citation
Amini, Massoud
(2009)
Control-target inversion property on Abelian groups.
Malaysian Journal of Mathematical Sciences, 3 (2).
pp. 135-146.
ISSN 1823-8343
Abstract
We show that the quantum Fourier transform on finite fields used to solve query problems is a special case of the usual quantum Fourier transform on finite Abelian groups. We show that the control-target inversion property holds in general. We apply this to get a sharp query complexity separation between classical and quantum algorithms for a hidden homomorphism problem on finite Abelian groups.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/volume3.2.php
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Additional Metadata
Item Type: | Article |
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Divisions: | Institute for Mathematical Research |
Publisher: | Universiti Putra Malaysia Press |
Keywords: | Quantum Fourier transform; Inversion property; Hidden homomorphism problem |
Depositing User: | Najwani Amir Sariffudin |
Date Deposited: | 09 Jun 2011 10:13 |
Last Modified: | 27 May 2015 03:30 |
URI: | http://psasir.upm.edu.my/id/eprint/12621 |
Statistic Details: | View Download Statistic |
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