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math-ph2018
Dynamical system induced by quantum walk
Yusuke Higuchi, Etsuo Segawa
We consider the Grover walk model on a connected finite graph with two infinite length tails and we set an -infinite external source from one of the tails as the initi…
math-ph2012★ 1 cited
Quantum graph walks II: Quantum walks on graph coverings
Yusuke Higuchi, Norio Konno, Iwao Sato +1
We give a new determinant expression for the characteristic polynomial of the bond scattering matrix of a quantum graph G. Also, we give a decomposition formula for the characteris…