144 citations · 321 across the 15 of their papers we have counts for
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quant-ph2016★ 30 cited
Green's function approach for quantum graphs: an overview
Fabiano M. Andrade, A. G. M. Schmidt, E. Vicentini +2
Here we review the many aspects and distinct phenomena associated to quantum dynamics on general graph structures. For so, we discuss such class of systems under the energy domain…
quant-ph2011★ 9 cited
Green function approach for scattering quantum walks
F. M. Andrade, M. G. E. da Luz
In this work a Green function approach for scattering quantum walks is developed. The exact formula has the form of a sum over paths and always can be cast into a closed analytic e…
quant-ph2009★ 25 cited
Equivalence between discrete quantum walk models in arbitrary topologies
F. M. Andrade, M. G. E. da Luz
Coin and scattering are the two major formulations for discrete quantum walks models, each believed to have its own advantages in different applications. Although they are related…