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Applying Grover’s Algorithm to AES: Quantum Resource Estimates
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“Surprisingly, however, the cost of dealing with random statistics in this paper is not expensive compared with the previous work [6] under the single processor assumption.”
From Time–space complexity of quantum search algorithms in symmetric cryptanalysis: applying to AES and SHA-2 (2018) · cites this paper as [6]
In the citing paper
“To avoid the cases, the authors encrypt r (∈ {3, 4, 5}) plaintext blocks simultaneously to obtain r ciphertexts so that only the true key results in given ciphertexts.The procedure removes the ambiguity in the number of iterations.Note, however, that the removal of the ambiguity comes in exchange of at least tripling the space cost.”
From Time–space complexity of quantum search algorithms in symmetric cryptanalysis: applying to AES and SHA-2 (2018) · cites this paper as [6]
In the citing paper
“Compared with[6], the circuit is about three times longer but requires one-third of qubits.”
From Time–space complexity of quantum search algorithms in symmetric cryptanalysis: applying to AES and SHA-2 (2018) · cites this paper as [6]
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Dupont-Latapie, U., & Perret, L. (2026) · ACM Conference on Post-Quantum and Quantum-based Security · doi:10.1145/3839338.3857237
Provable Post-Quantum Security of the 3-Round Substitution-Permutation Network
Shiba, R., & Iwata, T. (2026) · IACR Communications in Cryptology · doi:10.62056/a33zivol7
Metadata
- Authors
- Grassl, M., Langenberg, B., Roetteler, M., & Steinwandt, R.
- Affiliations
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Florida Atlantic University (US)
- Microsoft (United States) (US)
- Corresponding author
- Roetteler, Martin
- Venue
- Lecture Notes in Computer Science
- Publisher
- Springer International Publishing
- Published
- 2016
- Pages
- 29-43
- ISSN
- 0302-9743 (ISSN-L)
- 1611-3349
- OpenAlex
- W2212436842
- Cited by
- 299
- References
- 32
- Citations by year
- 2026: 34 · 2025: 52 · 2024: 55 · 2023: 36 · 2022: 36 · 2021: 29 · 2020: 23 · 2019: 14 · 2018: 9 · 2017: 9 · 2016: 2
- FWCI
- 6.11
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- Lecture notes in computer science (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Cryptographic Implementations and Security
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- Grover's algorithm, AES, brute force attacks, quantum resource estimation, Clifford+T gates, fault-tolerant quantum computing, circuit depth, qubit count, key recovery, cryptanalysis
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