189 citations · 1.9k across the 148 of their papers we have counts for
12 papers · 1 filter
Geographical threshold graphs with small-world and scale-free properties
Naoki Masuda, Hiroyoshi Miwa, Norio Konno
Many real networks are equipped with short diameters, high clustering, and power-law degree distributions. With preferential attachment and network growth, the model by Barabasi an…
Limit Theorem for Continuous-Time Quantum Walk on the Line
Norio Konno
Concerning a discrete-time quantum walk X^{(d)}_t with a symmetric distribution on the line, whose evolution is described by the Hadamard transformation, it was proved by the autho…
Relation between coined quantum walks and quantum cellular automata
Masatoshi Hamada, Norio Konno, Etsuo Segawa
Motivated by the recent work of Patel et al., this paper clarifies a connection between coined quantum walks and quantum cellular automata in a general setting. As a consequence, t…
Breakdown of an Electric-Field Driven System: a Mapping to a Quantum Walk
Takashi Oka, Norio Konno, Ryotaro Arita +1
Quantum transport properties of electron systems driven by strong electric fields are studied by mapping the Landau-Zener transition dynamics to a quantum walk on a semi-infinite o…
Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics
Naoki Masuda, Norio Konno
Cellular automata are widely used to model real-world dynamics. We show using the Domany-Kinzel probabilistic cellular automata that alternating two supercritical dynamics can resu…
A Path Integral Approach for Disordered Quantum Walks in One Dimension
Norio Konno
The present letter gives a rigorous way from quantum to classical random walks by introducing an independent random fluctuation and then taking expectations based on a path integra…
Localization of Multi-State Quantum Walk in One Dimension
Norio Inui, Norio Konno
We show analytically that particle trapping appears in a quantum process called "quantum walk", in which the particle moves macroscopically correlating to the inner states. It has…
Quantum Walks and Reversible Cellular Automata
Norio Konno, Kenichi Mitsuda, Takahiro Soshi +1
We investigate a connection between a property of the distribution and a conserved quantity for the reversible cellular automaton derived from a discrete-time quantum walk in one d…
Analysis of scale-free networks based on a threshold graph with intrinsic vertex weights
Naoki Masuda, Hiroyoshi Miwa, Norio Konno
Many real networks are complex and have power-law vertex degree distribution, short diameter, and high clustering. We analyze the network model based on thresholding of the summed…
Temporal Fluctuations of Continuous-Time Quantum Random Walks on Circles
Norio Inui, Koichiro Kasahara, Yoshinao Konishi +1
This work deals with both instantaneous uniform mixing property and temporal standard deviation for continuous-time quantum random walks on circles in order to study their fluctuat…
Transmission of severe acute respiratory syndrome in dynamical small-world networks
Naoki Masuda, Norio Konno, Kazuyuki Aihara
The outbreak of severe acute respiratory syndrome (SARS) is still threatening the world because of a possible resurgence. In the current situation that effective medical treatments…
Return times of random walk on generalized random graphs
Naoki Masuda, Norio Konno
Random walks are used for modeling various dynamics in, for example, physical, biological, and social contexts. Furthermore, their characteristics provide us with useful informatio…