2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/90914It 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, $O(\sqrt{N/L})$.7 pages, 2 figures, Plain latex; some typos correctedQuantum Physicstext