activity
19992023
most citedOne-Dimensional Three-State Quantum Walk

189 citations · 1.9k across the 148 of their papers we have counts for

collaborators
Showing 2005Show all

6 papers · 1 filter

quant-ph2005★ 189 cited

One-Dimensional Three-State Quantum Walk

Norio Inui, Norio Konno, Etsuo Segawa

We study a generalized Hadamard walk in one dimension with three inner states. The particle governed by the three-state quantum walk moves, in superposition, both to the left and t…

math.PR2005★ 10 cited

Rigorous results on the threshold network model

Norio Konno, Naoki Masuda, Rahul Roy +1

We analyze the threshold network model in which a pair of vertices with random weights are connected by an edge when the summation of the weights exceeds a threshold. We prove some…

quant-ph2005★ 8 cited

Statistical Properties of a Quantum Cellular Automaton

Norio Inui, Shuichi Inokuchi, Yoshihiro Mizoguchi +1

We study a quantum cellular automaton (QCA) whose time-evolution is defined from global transition function of classical cellular automata (CA). In order to investigate natural tra…

cond-mat.dis-nn2005★ 86 cited

Multi-state epidemic processes on complex networks

Naoki Masuda, Norio Konno

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, diseas…

quant-ph2005★ 27 cited

Quantum walks and orbital states of a Weyl particle

Makoto Katori, Soichi Fujino, Norio Konno

The time-evolution equation of a one-dimensional quantum walker is exactly mapped to the three-dimensional Weyl equation for a zero-mass particle with spin 1/2, in which each wave…

cond-mat.dis-nn2005★ 46 cited

VIP-club phenomenon: emergence of elites and masterminds in social networks

Naoki Masuda, Norio Konno

Hubs, or vertices with large degrees, play massive roles in, for example, epidemic dynamics, innovation diffusion, and synchronization on networks. However, costs of owning edges c…