On quantum collision resistant function

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 framewo...

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Main Author: M.F. Ablayev
Format: Article
Language:English
Published: Kazan Federal University 2021-03-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
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Online Access:https://kpfu.ru/uz-eng-phm-2021-1-7.html
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author M.F. Ablayev
author_facet M.F. Ablayev
author_sort M.F. Ablayev
collection DOAJ
description 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.
format Article
id doaj-art-b0f7ebe63e4a4c6483e0226da4a807e3
institution Kabale University
issn 2541-7746
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language English
publishDate 2021-03-01
publisher Kazan Federal University
record_format Article
series Учёные записки Казанского университета: Серия Физико-математические науки
spelling doaj-art-b0f7ebe63e4a4c6483e0226da4a807e32024-12-02T09:16:36ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982021-03-011631909410.26907/2541-7746.2021.1.90-94On quantum collision resistant functionM.F. Ablayev0Federal Research Center “Kazan Scientific Center of the Russian Academy of Sciences”, Kazan, 420111 Russia; Kazan Federal University, Kazan, 420008 RussiaIn 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.https://kpfu.ru/uz-eng-phm-2021-1-7.htmlquantum cryptographyquantum hashingresistance to collisions
spellingShingle M.F. Ablayev
On quantum collision resistant function
Учёные записки Казанского университета: Серия Физико-математические науки
quantum cryptography
quantum hashing
resistance to collisions
title On quantum collision resistant function
title_full On quantum collision resistant function
title_fullStr On quantum collision resistant function
title_full_unstemmed On quantum collision resistant function
title_short On quantum collision resistant function
title_sort on quantum collision resistant function
topic quantum cryptography
quantum hashing
resistance to collisions
url https://kpfu.ru/uz-eng-phm-2021-1-7.html
work_keys_str_mv AT mfablayev onquantumcollisionresistantfunction