75 citations · 932 across the 61 of their papers we have counts for
18 papers · 1 filter
Quantitative approach to Grover's quantum walk on graphs
Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou +1
In this paper, we study Grover's search algorithm focusing on continuous-time quantum walk on graphs. We propose an alternative optimization approach to Grover's algorithm on graph…
Gaps labeling theorem for the Bubble-diamond self-similar graphs
Elizabeth Melville, Gamal Mograby, Nikhil Nagabandi +2
Motivated by the appearance of fractals in several areas of physics, especially in solid state physics and the physics of aperiodic order, and in other sciences, including the quan…
Hamiltonian systems, Toda lattices, Solitons, Lax Pairs on weighted Z-graded graphs
Gamal Mograby, Maxim Derevyagin, Gerald V. Dunne +1
We consider discrete one dimensional nonlinear equations and present the procedure of lifting them to Z-graded graphs. We identify conditions which allow one to lift one dimensiona…
Spectra of Perfect State Transfer Hamiltonians on Fractal-Like Graphs
Gamal Mograby, Maxim Derevyagin, Gerald V. Dunne +1
In this paper we study the spectral features, on fractal-like graphs, of Hamiltonians which exhibit the special property of perfect quantum state transfer: the transmission of quan…
Perfect quantum state transfer on diamond fractal graphs
Maxim Derevyagin, Gerald V. Dunne, Gamal Mograby +1
In the quest for designing novel protocols for quantum information and quantum computation, an important goal is to achieve perfect quantum state transfer for systems beyond the we…
Magnetostatic problems in fractal domains
Simone Creo, Maria Rosaria Lancia, Paola Vernole +2
We consider a magnetostatic problem in a 3D "cylindrical" domain of Koch type. We prove existence and uniqueness results for both the fractal and pre-fractal problems and we invest…