58 citations · 195 across the 32 of their papers we have counts for
3 papers · 1 filter
Self-avoiding quantum walks: realisations in subspaces and limit theorems
Takuya Machida, C. M. Chandrashekar, Norio Konno +1
While completely self-avoiding quantum walks have the distinct property of leading to a trivial unidirectional transport of a quantum state, an interesting and non-trivial dynamics…
Co-evolution of networks and quantum dynamics: a generalization of preferential attachment
Vincenzo Nicosia, Takuya Machida, Richard Wilson +4
We propose a model of network growth in which the network is co-evolving together with the dynamics of a quantum mechanical system, namely a quantum walk taking place over the netw…
Combinatorial and approximative analyses in a spatially random division process
Yukio Hayashi, Takayuki Komaki, Yusuke Ide +2
For a spatial characteristic, there exist commonly fat-tail frequency distributions of fragment-size and -mass of glass, areas enclosed by city roads, and pore size/volume in rando…