117 citations · 1.1k across the 71 of their papers we have counts for
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Eigenbasis of the Evolution Operator of 2-Tessellable Quantum Walks
Yusuke Higuchi, Renato Portugal, Iwao Sato +1
Staggered quantum walks on graphs are based on the concept of graph tessellation and generalize some well-known discrete-time quantum walk models. In this work, we address the clas…
Staggered Quantum Walk on Hexagonal Lattices
Bruno Chagas, Renato Portugal, Stefan Boettcher +1
A discrete-time staggered quantum walk was recently introduced as a generalization that allows to unify other versions, such as the coined and Szegedy's walk. However, it also prod…
Quantum Walks via Quantum Cellular Automata
Pedro C. S. Costa, Renato Portugal, Fernando de Melo
Very much as its classical counterpart, quantum cellular automata are expected to be a great tool for simulating complex quantum systems. Here we introduce a partitioned model of q…