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A quantum algorithm for finding collision-inducing disturbance vectors in SHA-1
Duan, Jiheng1; Li, Minghui2; Ian, Hou2
2023-10-06
Source PublicationPhysica Scripta
ISSN0031-8949
Volume98Issue:11Pages:115106
Abstract

Modern cryptographic protocols rely on sophisticated hash functions to generate quasi-unique numbers that serve as signatures for user authentication and other security verifications. The security could be compromised by finding texts hash-mappable to identical numbers, forming so-called collision attack. Seeding a disturbance vector in the hash mapping to obtain a successful collision is that a major focus of cryptography study in the past two decades to improve hash protocols. We propose an algorithm that takes advantage of entangled quantum states for concurrent seeding of candidate disturbance vectors, out of which the one entailing collision is selected through a combination of quantum search, phase gating, diffusion gating, and information feedbacks from classical computing machinery. The complexity reduction is shown to be on the order of ( 2 n / 2 + 1 ) where n is the number of qubits encoding addresses. We demonstrate the practicality of the proposed by an implementation scheme based on degenerate optical parametric oscillators.

KeywordOptical Parametric Oscillator Quantum Algorithm Quantum Entanglement Sha Cryptography
DOI10.1088/1402-4896/acfc79
URLView the original
Language英語English
Scopus ID2-s2.0-85175095955
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Document TypeJournal article
CollectionDEPARTMENT OF PHYSICS AND CHEMISTRY
INSTITUTE OF APPLIED PHYSICS AND MATERIALS ENGINEERING
Co-First AuthorDuan, Jiheng
Corresponding AuthorIan, Hou
Affiliation1.Department of Physics and Chemistry, Faculty of Science and Technology, University of macau, Macau, Macao
2.Institute of Applied Physics and Materials Engineering, University of Macau, Macau, Macao
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationINSTITUTE OF APPLIED PHYSICS AND MATERIALS ENGINEERING
Recommended Citation
GB/T 7714
Duan, Jiheng,Li, Minghui,Ian, Hou. A quantum algorithm for finding collision-inducing disturbance vectors in SHA-1[J]. Physica Scripta, 2023, 98(11), 115106.
APA Duan, Jiheng., Li, Minghui., & Ian, Hou (2023). A quantum algorithm for finding collision-inducing disturbance vectors in SHA-1. Physica Scripta, 98(11), 115106.
MLA Duan, Jiheng,et al."A quantum algorithm for finding collision-inducing disturbance vectors in SHA-1".Physica Scripta 98.11(2023):115106.
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