部分信息的小波量子搜索算法
Wavelet Quantum Search Algorithm with Partial Information
摘要:
在非结构化数据库中,当数据库中只给出部分信息时,Grover算法是否比经典算法更有价值值得商榷。在这封信中,考虑到量子搜索时,部分信息是给定的,我们取代的傅立叶变换的Grover算法与Haar小波变换。然后,我们给出了一个部分信息$L$的大小为$N$的非结构化数据库,有改进的加速比,$O(\sqrt{N/L})$。
英文摘要:
It is questionable that Grover algorithm may be more valuable than a classical one, when a partial information is given in a unstructured database. In this letter, to consider quantum search when a partial information is given, we replace the Fourier transform in the Grover algorithm with the Haar wavelet transform. We then, given a partial information $L$ to a unstructured database of size $N$, show that there is the improved speedup, $O(\sqrt{N/L})$.
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