4 papers
Qudit Twisted-Torus Codes in the Bivariate Bicycle Framework
Mourad Halla
We study finite-length qudit quantum low-density parity-check (LDPC) codes from translation-invariant CSS constructions on two-dimensional tori with twisted boundary conditions. Re…
Estimation of Quantum Fisher Information via Stein's Identity in Variational Quantum Algorithms
Mourad Halla
The Quantum Fisher Information Matrix (QFIM) plays a crucial role in quantum optimization algorithms such as Variational Quantum Imaginary Time Evolution and Quantum Natural Gradie…
Modified Conjugate Quantum Natural Gradient
Mourad Halla
The efficient optimization of variational quantum algorithms (VQAs) is critical for their successful application in quantum computing. The Quantum Natural Gradient (QNG) method, wh…
Application of the Gauss-Bonnet theorem to lensing in the NUT metric
Mourad Halla, Volker Perlick
We show with the help of Fermat's principle that every lightlike geodesic in the NUT metric projects to a geodesic of a two-dimensional Riemannian metric which we call the optical…