output
19932026
most citedCollaborative Beamforming for Distributed Wireless Ad Hoc Sensor Networks

613 citations

Showing 2014 · math-phShow all

6 papers · 2 filters

math-ph2014★ 1 cited

Weak convergence of the Wojcik model

Takako Endo, Norio Konno

We study "the Wojcik model" which is a discrete-time quantum walk (QW) with one defect in one dimension, introduced by Wojcik et al.. For the Wojcik model, we give the weak converg…

math-ph2014★ 4 cited

Weak limit theorem of a two-phase quantum walk with one defect

Shimpei Endo, Takako Endo, Norio Konno +2

We attempt to analyze a one-dimensional space-inhomogeneous quantum walk (QW) with one defect at the origin, which has two different quantum coins in positive and negative parts. W…

math-ph2014

Limit theorems of a two-phase quantum walk with one defect

Shimpei Endo, Takako Endo, Norio Konno +2

We treat a position dependent quantum walk (QW) on the line which we assign two different time-evolution operators to positive and negative parts respectively. We call the model "t…

math-ph2014

A remark on zeta functions of finite graphs via quantum walks

Yu. Higuchi, N. Konno, I. Sato +1

From the viewpoint of quantum walks, the Ihara zeta function of a finite graph can be said to be closely related to its evolution matrix. In this note we introduce another kind of…

math-ph2014★ 2 cited

The time-averaged limit measure of the Wojcik model

Takako Endo, Norio Konno

We investigate "the Wojcik model" introduced and studied by Wojcik et al., which is a one-defect quantum walk (QW) having a single phase at the origin. They reported that giving a…

math-ph2014★ 2 cited

Analytical solutions for quantum walks on 1D chain with different shift operators

Xin-Ping Xu, Xiao-Kun Zhang, Yusuke Ide +1

In this paper, we study the discrete-time quantum walks on 1D Chain with the moving and swapping shift operators. We derive analytical solutions for the eigenvalues and eigenstates…