Quantum State Detection Via Elimination

Details Quantum State Detection Via Elimination Quantum State Detection Via Elimination

1999-05-28

arxiv.org/abs/quant-ph/9905099v1

Physics

Quantum Physics

8 pages, no figures

Scientific paper

We present the view of quantum algorithms as a search-theoretic problem. We show that the Fourier transform, used to solve the Abelian hidden subgroup problem, is an example of an efficient elimination observable which eliminates a constant fraction of the candidate secret states with high probability. Finally, we show that elimination observables do not always exist by considering the geometry of the hidden subgroup states of the dihedral group D_N.

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