activity
20042022
most citedRelation between coined quantum walks and quantum cellular automata

12 citations · 32 across the 24 of their papers we have counts for

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Showing 2017Show all

7 papers · 1 filter

math.CO20171 cited

Periodicity of Grover walks on generalized Bethe trees

S. Kubota, E. Segawa, T. Taniguchi +1

This paper explains the perfect characterization of the generalized Bethe trees by analyzing the spectrum of its transition matrix.

math-ph20172 cited

On nonlinear scattering for quantum walks

Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2

We study large time behavior of quantum walks (QW) with self-dependent coin. In particular, we show scattering and derive the reproducing formula for inverse scattering in the weak…

quant-ph2017

How does Grover walk recognize the shape of crystal lattice?

Chul Ki Ko, Norio Konno, Etsuo Segawa +1

We consider the support of the limit distribution of the Grover walk on crystal lattices with the linear scaling. The orbit of the Grover walk is denoted by the parametric plot of…

quant-ph2017

Resonant-tunneling in discrete-time quantum walk

Kaname Matsue, Leo Matsuoka, Osamu Ogurisu +1

We show that discrete-time quantum walks on the line, , behave as "the quantum tunneling". In particular, quantum walkers can tunnel through a double-well with the tran…

math-ph20171 cited

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…

math-ph2017

Quantum Search on Simplicial Complexes

Kaname Matsue, Osamu Ogurisu, Etsuo Segawa

In this paper, we propose an extension of quantum searches on graphs driven by quantum walks to simplicial complexes. To this end, we newly define a quantum walk on simplicial comp…