44 citations · 58 across the 3 of their papers we have counts for
3 papers
quant-ph2024
A Novel Finite Fractional Fourier Transform and its Quantum Circuit Implementation on Qudits
Emmanuel Floratos, Archimedes Pavlidis
We present a new number theoretic definition of discrete fractional Fourier transform (DFrFT) . In this approach the DFrFT is defined as the dimensional unitary repres…
quant-ph2017★ 44 cited
Arithmetic Circuits for Multilevel Qudits Based on Quantum Fourier Transform
Archimedes Pavlidis, Emmanuel Floratos
We present some basic integer arithmetic quantum circuits, such as adders and multipliers-accumulators of various forms, as well as diagonal operators, which operate on multilevel…
quant-ph2012★ 14 cited
Fast Quantum Modular Exponentiation Architecture for Shor's Factorization Algorithm
Archimedes Pavlidis, Dimitris Gizopoulos
We present a novel and efficient in terms of circuit depth design for Shor's quantum factorization algorithm. The circuit effectively utilizes a diverse set of adders based on the…