Next-Generation Quantum Security: Algorithms, Cryptography, and Computational Breakthroughs

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: 10 July 2026 | Viewed by 1555

Special Issue Editors

School of Software, Shandong University, Jinan 250100, China
Interests: post-quantum cryptography; cryptographic implementation; implementation security

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Guest Editor
School of Computer Science, Engineering Research Center of Digital Forensics of Ministry of Education, Nanjing University of Information Science & Technology, Nanjing 210044, China
Interests: network security; applied cryptography
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Special Issue Information

Dear Colleagues,

The impending arrival of practical quantum computing represents a significant shift in cybersecurity. It poses a serious threat to widely used public-key cryptographic systems while also fostering remarkable innovation in cryptographic algorithms and hardware architectures. This Special Issue focuses on the critical research challenges and breakthroughs in next-generation quantum security, specifically targeting cryptographic solutions that are resilient against quantum attacks. As quantum technology progresses, the global research community is developing innovative strategies to ensure long-term security, efficiency, and practicality across various computing environments. We invite researchers to submit original research articles and comprehensive reviews that explore both the theoretical and practical aspects of post-quantum cryptography (PQC), homomorphic encryption, data security, and AI security. We also encourage submissions on security and privacy technologies of secure systems in the post-quantum era.

Dr. Yanbin Li
Dr. Yongjun Ren
Guest Editors

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Keywords

  • post-quantum cryptography
  • cryptographic implementation
  • protocol security
  • security architectures
  • date security
  • homomorphic encryption
  • machine learning and ai security
  • privacy technologies and mechanisms
  • embedded systems security
  • side-channel analysis
  • attacks and defense
  • hardware security
  • intrusion detection and prevention

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Published Papers (1 paper)

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Research

16 pages, 437 KB  
Article
GPU Acceleration for KLSS Key Switching in Fully Homomorphic Encryption
by Shutong Jin and Ray C. C. Cheung
Mathematics 2025, 13(23), 3809; https://doi.org/10.3390/math13233809 - 27 Nov 2025
Viewed by 1155
Abstract
Fully Homomorphic Encryption (FHE) enables privacy-preserving computation but is hindered by high computational overhead, with the key-switching operation being a primary performance bottleneck. This paper introduces the first CUDA-optimized GPU implementation of the Kim, Lee, Seo, and Son (KLSS) key-switching algorithm for three [...] Read more.
Fully Homomorphic Encryption (FHE) enables privacy-preserving computation but is hindered by high computational overhead, with the key-switching operation being a primary performance bottleneck. This paper introduces the first CUDA-optimized GPU implementation of the Kim, Lee, Seo, and Son (KLSS) key-switching algorithm for three leading FHE schemes: BGV, BFV, and CKKS. Our solution achieves significant performance gains, delivering speedups of up to 181× against the original CPU implementation. Furthermore, we analyze the critical trade-off between the key-switching techniques on GPUs, providing insights for the choice between single- and double-decomposition methods. Our work provides a high-performance tool and offers clear guidelines on the trade-off between latency and hardware memory constraints. Full article
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