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Why and how to add direction to a quantum walk
Rodrigo Chaves, Bruno Oliveira Chagas, Gabriel Coutinho
We formalize the treatment of directed (or chiral) quantum walks using Hermitian adjacency matrices, bridging two developing fields of research in quantum information and spectral…
Discrete-Time Quantum Walks on Oriented Graphs
Bruno Chagas, Renato Portugal
The interest in quantum walks has been steadily increasing during the last two decades. It is still worth to present new forms of quantum walks that might find practical applicatio…
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…