Geodesic
On quantum collision resistant function
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 163 (2021) no. 1, pp. 90-94 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the classical hashing theory, collision is a coincidence of the values of a function with different arguments. This paper formulates a quantum analogue of the collision property. A variant of formalization of the concept of quantum function resistant to collisions was proposed. Within the framework of this formalization, the theorem (sufficient condition) on the quantum function that is resistant to collisions was proved.
Keywords: quantum cryptography, quantum hashing, resistance to collisions. 
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M. F. Ablayev. On quantum collision resistant function. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 163 (2021) no. 1, pp. 90-94. http://geodesic.mathdoc.fr/item/UZKU_2021_163_1_a6/

[1] Ablayev F. M., Ablayev M. F., Vasilev A. V., “Universal quantum hashing”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156, no. 3, 2014, 7–18 (In Russian)

[2] Wilde M. M., Quantum Information Theory, Cambridge Univ. Press, Cambridge, 2017, 776 pp. | Zbl