Preprint
Aug 2026
Efficient Quantum Modular Reduction: Crandall reduction and its Fault-tolerant resource analysis
Two variants of Crandall reduction are developed: Crandall reduction-1 is designed to minimize execution cost through one-step normalization, whereas Crandall reduction-2 uses two-step normalization to support a wider range of inputs with limited overhead.
Changyeol Lee, Sungyeon Kook, Wooyeong Song et al.
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