Research Progress on Low-Resource Quantum Algorithms for Integer Factorization

Yan Bao; Wentao Yang; shijie wei; Guilu Long

doi:10.1360/sspma-2026-0168

March 1, 2026Zhongguo kexue. Wulixue Lixue Tianwenxue

Research Progress on Low-Resource Quantum Algorithms for Integer Factorization

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Key Points

The study aims to advance low-resource quantum algorithms for efficient integer factorization to assess threats to RSA encryption.
Developed HAIFA, a hybrid decomposition algorithm combining classical reduction and quantum optimization.
Achieved the first 48-bit integer factorization on quantum hardware, setting a world record.
Introduced a universal computational framework (STAIF) that reduces theoretical spatial complexity from O(n^3/2) to O(n log n).
HAIFA demonstrated successful 48-bit integer factorization on quantum hardware, achieving a significant milestone.
STAIF's theoretical framework allows enhanced computational efficiency, verified experimentally with relevant parameters.

Implication

Evaluates low-resource quantum algorithms for integer factorization, suggesting practical advancements in quantum threat analysis for classic cryptography.

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Cite This Study

Bao et al. (2026) studied this question.

synapsesocial.com/papers/69ec5b6088ba6daa22dacf63 https://doi.org/10.1360/sspma-2026-0168

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Research Progress on Low-Resource Quantum Algorithms for Integer Factorization

Key Points

Implication

Abstract

Discussion

Cite This Study

Research Progress on Low-Resource Quantum Algorithms for Integer Factorization

Key Points

Implication

Abstract

Discussion

Cite This Study

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