Paper 2025/1801

Quantum Circuit Implementation and Resource Analysis of AIM2

Gyeongju Song, Hansung University
Kyungbae Jang, Hansung University
Seyoung Yoon, Hansung University
Minwoo Lee, Hansung University
Hwajeong Seo, Hansung University
Abstract

In this paper, we propose a quantum circuit implementation of AIM2. We apply optimization to reduce the circuit depth and introduce a method to reuse qubits by performing inverse operations in parallel. For all AIM2 variants (AIM2-I, AIM2-III, AIM2-V), we design quantum circuits for $\mathsf{Mer}^{-1}$, the linear layer, $\mathsf{Mer}$, and feed-forward. We confirm that the $\mathsf{Mer}^{-1}$ operation dominates the overall cost. Compared to the previous version of AIM, AIM2 requires significantly more quantum resources since it introduces $\mathsf{Mer}^{-1}$ before the linear layer. Based on the proposed circuits, we estimate the cost of Grover's algorithm for key search and compare it with the NIST estimates for AES. As a result, AIM2-I, AIM2-III, and AIM2-V achieve the post-quantum security levels of Level-1, Level-3, and Level-5, respectively.

Metadata
Available format(s)
PDF
Category
Implementation
Publication info
Preprint.
Keywords
Quantum ImplementationQuantum ComputingAIM2AIMerGrover's algorithm
Contact author(s)
thdrudwn98 @ gmail com
starj1023 @ gmail com
sebbang99 @ gmail com
minunejip @ gmail com
hwajeong84 @ gmail com
History
2025-10-08: approved
2025-10-02: received
See all versions
Short URL
https://ia.cr/2025/1801
License
No rights reserved
CC0

BibTeX

@misc{cryptoeprint:2025/1801,
      author = {Gyeongju Song and Kyungbae Jang and Seyoung Yoon and Minwoo Lee and Hwajeong Seo},
      title = {Quantum Circuit Implementation and Resource Analysis of {AIM2}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1801},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1801}
}
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