E. Floratos

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quant-ph2025

Construction of Metaplectic Representations of $S L_{2} (Z_{2^{n}})$ and Twisted Magnetic Translations

Emmanuel Floratos, Kimon Manolas, Ioannis Tsohantjis

Unitary metaplectic representations of the group $S L_{2} (Z_{2^{n}})$ are necessary to describe the evolution of $2^{n}$ -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 $N \times N$ dimensional unitary repres…

Construction of Metaplectic Representations of SL2​(Z2n​) and Twisted Magnetic Translations

A Novel Finite Fractional Fourier Transform and its Quantum Circuit Implementation on Qudits

Construction of Metaplectic Representations of $S L_{2} (Z_{2^{n}})$ and Twisted Magnetic Translations