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math-ph2019★ 29 cited
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…
math.CA2019
Harmonic Gradients on Higher Dimensional Sierpinski Gaskets
Luke Brown, Giovanni Ferrer, Gamal Mograby +2
We consider criteria for the differentiability of functions with continuous Laplacian on the Sierpinski Gasket and its higher-dimensional variants , , proving results th…