Control-target inversion property on Abelian groups
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 be...
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Putra Malaysia Press
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12621/1/1._amini.pdf http://psasir.upm.edu.my/id/eprint/12621/ http://einspem.upm.edu.my/journal/volume3.2.php |
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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | 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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