Efficient Quantum Modular Arithmetics for the ISQ Era

Understand

As we venture into the Intermediate-Scale Quantum (ISQ) era, the proficiency of modular arithmetic operations becomes pivotal for advancing quantum cryptographic algorithms.

• This study presents an array of quantum circuits, each precision-engineered for modular arithmetic functions critical to cryptographic applications.
• Central to our exposition are quantum modular adders, multipliers, and exponential operators, whose designs are rigorously optimized for ISQ devices.
• We provide a theoretical framework and practical implementations in the PennyLane quantum software, bridging the gap between conceptual and applied quantum computing.