• Corpus ID: 220381076

# Grover search with smaller oracles

@article{Li2020GroverSW,
title={Grover search with smaller oracles},
author={Dan Li},
journal={arXiv: General Physics},
year={2020}
}
• Dan Li
• Published 6 July 2020
• Computer Science
• arXiv: General Physics
Grover search is one of the most important quantum algorithms. In this paper, we consider a kind of search that the conditions of satisfaction $T$ can be rewritten as $T=T_1\bigcap T_2$. Then we present a new Grover search with smaller oracles. The time complexity of this algorithm $O(\frac{\pi}{4}\sqrt{\frac{N}{b\lambda}}+\frac{\pi}{4}\sqrt{\frac{b}{\tau}})$, which is smaller than the time complexity of original Grover search, i.e. $O(\frac{\pi}{4}\sqrt{\frac{N}{M}})$.

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