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arXiv · 2505.03743

Implementation of Shor Algorithm: Factoring a 4096-Bit Integer Under Specific Constraints

Abel C. H. Chen
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Abstract

In recent years, advancements in quantum chip technology, such as Willow, have contributed to reducing quantum computation error rates, potentially accelerating the practical adoption of quantum computing. As a result, the design of quantum algorithms suitable for real-world applications has become a crucial research direction. This study focuses on the implementation of Shor algorithm, aiming to improve modular computation efficiency and demonstrate the factorization of a 4096-bit integer under specific constraints. Experimental results, when compared with state-of-the-art (SOTA) methods, indicate a significant improvement in efficiency while enabling the factorization of longer integers.

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Abel C. H. Chen. 2025-04-07. Implementation of Shor Algorithm: Factoring a 4096-Bit Integer Under Specific Constraints. https://doi.org/10.1109/iccpct65132.2025.11176593

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