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As we venture into the Intermediate-Scale Quantum (ISQ) era, the proficiencyof modular arithmetic operations becomes pivotal for advancing quantumcryptographic algorithms. This study presents an array of quantum circuits,each precision-engineered for modular arithmetic functions critical tocryptographic applications. Central to our exposition are quantum modularadders, multipliers, and exponential operators, whose designs are rigorouslyoptimized for ISQ devices. We provide a theoretical framework and practicalimplementations in the PennyLane quantum software, bridging the gap betweenconceptual and applied quantum computing. Our simulations validate the efficacyof these methodologies, offering a strategic compass for developing quantumalgorithms that align with the rapid progression of quantum technology.

Efficient Quantum Modular Arithmetics for the ISQ Era