This is a textbook about quantum walks and quantum search algorithms. The readers will take advantage of the pedagogical aspects and learn the topics faster and make less effort …
K Mukai, N Hatano - Physical Review Research, 2020 - APS
Many systems such as social networks and biological networks take the form of complex networks, which have a community structure. Community detection in complex networks is of …
E Segawa - Journal of Computational and Theoretical …, 2013 - ingentaconnect.com
We study a quantum walk (QW) whose time evolution is induced by a random walk (RW) first introduced by Szegedy (2004). We focus on a relation between recurrent properties of the …
E Segawa, A Suzuki - Quantum Information Processing, 2019 - Springer
Given two Hilbert spaces, HH and KK, we introduce an abstract unitary operator U on HH and its discriminant T on KK induced by a coisometry from HH to KK and a unitary involution …
R Balu, C Liu… - Journal of Physics A …, 2017 - iopscience.iop.org
We analyze the probability distributions of the quantum walks induced from Markov chains by Szegedy (2004). The first part of this paper is devoted to the quantum walks induced from …
H Wang, J Wu, X Yang, X Yi - Journal of Physics A: Mathematical …, 2015 - iopscience.iop.org
In this paper, we propose a new algorithm based on a quantum walk search model to distinguish strongly similar graphs. Our algorithm computes a signature for each graph via …
T Endo, N Konno, H Obuse - arXiv preprint arXiv:1511.04230, 2015 - arxiv.org
We study a position-dependent discrete-time quantum walk (QW) in one dimension, whose time-evolution operator is built up from two coin operators which are distinguished by phase …
Y Ide, N Konno, E Segawa, XP Xu - Entropy, 2014 - mdpi.com
In this paper, we consider the time averaged distribution of discrete time quantum walks on the glued trees. In order to analyze the walks on the glued trees, we consider a reduction to …
CL Ho, Y Ide, N Konno, E Segawa, K Takumi - Journal of Statistical …, 2018 - Springer
In this paper, we consider a spectral analysis of discrete time quantum walks on the path. For isospectral coin cases, we show that the time averaged distribution and stationary …