App. Res. of Comp. Accepted Paper
Vol. 43, 2026 No. 10

Quantum asymmetric encryption scheme based on improved Grover algorithm and chaotic perturbation

Chen Honga
Zhang Jiahuaa
Jin Haiboa
Wu Congb
a. School of Software, b. School of Innovation and Practice, Liaoning Technical University, Fuxin 123000, Liaoning, China
DOI: 10.19734/j.issn.1001-3695.2025.12.0547

Abstract

Aiming at the problems of excessive key overhead, high gate depth of standard quantum search circuits, and poor noise tolerance in post-quantum public-key schemes on noisy intermediate-scale quantum (NISQ) devices, this work proposes an asymmetric encryption mechanism that takes quantum search complexity as its security primitive. The scheme injects three-dimensional hypercube quantum walks and dynamic chaotic phases into an improved amplitude amplification shell, builds a shallow-circuit iteration based on neighborhood operations, and forms a triple key element from the quantum target state, chaotic parameters, and hash binding. Under a KEM–DEM layered framework and the quantum random oracle model (QROM) , composability and reprogramming proofs are provided. Simulations show that, at 128-bit security strength, encryption and decryption latency drops by approximately 48.7× and 18.9× compared with RSA and ECC respectively, quantum gate depth decreases by 40%–60%, and the average success rate of unstructured search reaches approximately 0.91. Under 10% gate-level noise, single-attempt decapsulation success approaches 50%, the fault-tolerance threshold shifts rightward by approximately 6.3 percentage points, and the man-in-the-middle attack blocking rate exceeds 0.97. This mechanism offers a practical pathway toward constructing computationally secure one-way trapdoor functions resistant to Shor-type attacks, yet the verification of search-hardness assumptions, chaotic-parameter optimization, and cross-platform consistency still await larger-scale hardware experiments.

Foundation Support

国家自然科学基金资助项目(62173171)
辽宁省教育厅科研项目(LJKFZ20220198)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2025.12.0547
Publish at: Application Research of Computers Accepted Paper, Vol. 43, 2026 No. 10

Publish History

[2026-07-03] Accepted Paper

Cite This Article

陈虹, 张家华, 金海波, 等. 基于量子行走与混沌扰动的改进Grover非对称加密方案 [J]. 计算机应用研究, 2026, 43 (10). (2026-07-30). https://doi.org/10.19734/j.issn.1001-3695.2025.12.0547. (Chen Hong, Zhang Jiahua, Jin Haibo, et al. Quantum asymmetric encryption scheme based on improved Grover algorithm and chaotic perturbation [J]. Application Research of Computers, 2026, 43 (10). (2026-07-30). https://doi.org/10.19734/j.issn.1001-3695.2025.12.0547. )

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  • Application Research of Computers Monthly Journal
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Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

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