Geodesic
Quantum search for a given substring in the text using a hashing technique
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 3, pp. 241-258

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The problem of searching for a given substring in the text was considered. It is known that classical algorithms solve this problem in a linear time depending on the length of the text and the specified template. Quantum algorithms speed up the search by “square root times”. In this paper, we proposed a quantum algorithm that solves the search problem a) with a high probability of getting the correct result and b) with the same acceleration (by “square root times”) as compared with the classical one, but it c) requires much less memory (based on the number of qubits used) than the previously known quantum algorithms.
Keywords: quantum algorithms, string search, quantum search. 
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     author = {M. F. Ablayev and N. M. Salikhova},
     title = {Quantum search for a given substring in the text using a hashing technique},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {241--258},
     publisher = {mathdoc},
     volume = {162},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2020_162_3_a0/}
}
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M. F. Ablayev; N. M. Salikhova. Quantum search for a given substring in the text using a hashing technique. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 3, pp. 241-258. http://geodesic.mathdoc.fr/item/UZKU_2020_162_3_a0/