Reversible circuits for modular multiplication Cx%M with x M arise as components of modular exponentiation in Shor's quantum number-factoring algorithm. However, existing generic constructions focus ...

Abstract: Today's rapid progress in the physical implementation of quantum computers demands scalable synthesis methods to map practical logic designs to quantum architectures. There exist many ...

This project demonstrates a simple Zero-Knowledge Proof (ZKP) circuit using Noir to prove knowledge of a modular exponentiation computation without revealing the base or the exponent. The modulus is ...

This was not my first exposure to Shor’s algorithm. However, there were certainly components of this task which were firsts for me, such as implement- ing general modular exponentiation circuits, ...

Abstract: Measurement-based uncomputation (MBU) is a technique used to perform probabilistic uncomputation of quantum circuits. We formalize this technique for the case of single-qubit registers, and ...

Montgomery algorithms represent a transformative advancement in the computation of modular arithmetic, specifically designed to bypass the costly division steps inherent in traditional methods. By ...

These new IPs expand the security IP product line and enable SoC design teams to build total security solutions. Naperville, Illinois, March 20, 2007 – Jetstream Media Technologies announced today ...