dorsal/arxiv
View SchemaWavelet Quantum Search Algorithm with Partial Information
| Authors | Sangwoong Park, Joonwoo Bae, Younghun Kwon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303025 |
| URL | https://arxiv.org/abs/quant-ph/0303025 |
Abstract
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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"abstract": "It is questionable that Grover algorithm may be more valuable than a\nclassical one, when a partial information is given in a unstructured database.\nIn this letter, to consider quantum search when a partial information is given,\nwe replace the Fourier transform in the Grover algorithm with the Haar wavelet\ntransform. We then, given a partial information $L$ to a unstructured database\nof size $N$, show that there is the improved speedup, $O(\\sqrt{N/L})$.",
"arxiv_id": "quant-ph/0303025",
"authors": [
"Sangwoong Park",
"Joonwoo Bae",
"Younghun Kwon"
],
"categories": [
"quant-ph"
],
"title": "Wavelet Quantum Search Algorithm with Partial Information",
"url": "https://arxiv.org/abs/quant-ph/0303025"
},
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