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Journal Article Quantum Implementation of S-Boxes Based on Polynomial Evaluation
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Authors
Doyoung Chung, Seungkwang Lee
Issue Date
2025-07
Citation
Electronics Letters, v.61, no.1, pp.1-7
ISSN
0013-5194
Publisher
John Wiley & Sons
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1049/ell2.70337
Abstract
Quantum computing environments make block ciphers susceptible to exhaustive key search attacks utilizing Grover's algorithm. However, such quantum-based attacks remain impractical unless the targeted cipher is directly implemented on a quantum platform. Moreover, their efficiency significantly depends on the quantum circuit design and optimization of the block cipher in question. The cost of a quantum circuit implementation is typically measured by two main metrics: the number of qubits and the circuit depth (T-depth). For most block ciphers, the S-box is the principal factor contributing to increased T-depth and additional qubit requirements. This paper presents a method for generating quantum circuits directly from lookup tables of S-boxes applicable to arbitrary block ciphers. We illustrate our approach using quantum circuit implementations of the PRESENT and DES ciphers as practical examples. Our proposed method is expected to efficiently implement arbitrary S-boxes by employing polynomial evaluation, thus balancing time–space complexity.
KSP Keywords
Grover's Algorithm, Look Up Table(LUT), Practical examples, Quantum circuit, S-box, T-depth, block cipher, circuit design and optimization, circuit implementation, polynomial evaluation, quantum computing(QC)
This work is distributed under the term of Creative Commons License (CCL)
(CC BY NC ND)
CC BY NC ND