189 citations · 1.9k across the 148 of their papers we have counts for
3 papers · 2 filters
Partition-based discrete-time quantum walks
Norio Konno, Renato Portugal, Iwao Sato +1
We introduce a family of discrete-time quantum walks, called two-partition model, based on two equivalence-class partitions of the computational basis, which establish the notion o…
Quaternionic quantum walks of Szegedy type and zeta functions of graphs
Norio Konno, Kaname Matsue, Hideo Mitsuhashi +1
We define a quaternionic extension of the Szegedy walk on a graph and study its right spectral properties. The condition for the transition matrix of the quaternionic Szegedy walk…
The spectra of the unitary marix of a 2-tessellable staggered quantum walk on a graph
Norio Konno, Iwao Sato, Etsuo Segawa
Recently, the staggered quantum walk (SQW) on a graph is discussed as a generalization of coined quantum walks on graphs and Szegedy walks. We present a formula for the time evolut…