Performance of Equal Phase-Shift Search for One Iteration

Details Performance of Equal Phase-Shift Search for One Iteration Performance of Equal Phase-Shift Search for One Iteration

2006-03-23

arxiv.org/abs/quant-ph/0603204v3

EPJD (European physical journal D) vol. 45, (2007) pp.335-340

Physics

Quantum Physics

10 pages, 4 figures

Scientific paper

10.1140/epjd/e2007-00247-9

Grover presented the phase-shift search by replacing the selective inversions by selective phase shifts of $\pi /3$. In this paper, we investigate the phase-shift search with general equal phase shifts. We show that for small uncertainties, the failure probability of the Phase-$\pi /3$ search is smaller than the general phase-shift search and for large uncertainties, the success probability of the large phase-shift search is larger than the Phase-$\pi /3$ search. Therefore, the large phase-shift search is suitable for large-size of databases.

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