Discrete-Time Quantum Walks on Oriented Graphs

  title={Discrete-Time Quantum Walks on Oriented Graphs},
  author={Bruno Chagas and 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 applications and new physical behaviors. In this work, we define discrete-time quantum walks on arbitrary oriented graphs by partitioning a graph into tessellations, which is a collection of disjoint cliques that cover the vertex set. By using the adjacency matrices associated with the tessellations, we define local unitary… 
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