3 papers
math.DS2026
Coupled Arnol'd cat maps on circulant graphs
Kimon Manolas, Emmanuel Floratos
This paper investigates the chaotic properties of Arnol'd cat maps (ACMs) coupled on the nodes of a circulant graph. By demanding that the system's evolution matrix be symplectic,…
quant-ph2025
Construction of Metaplectic Representations of and Twisted Magnetic Translations
Emmanuel Floratos, Kimon Manolas, Ioannis Tsohantjis
Unitary metaplectic representations of the group are necessary to describe the evolution of -dimensional quantum systems, such as systems involving $n…
quant-ph2025
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…