2 citations · 6 across the 11 of their papers we have counts for
5 papers · 1 filter
A walk on max-plus algebra
Sennosuke Watanabe, Akiko Fukuda, Etsuo Segawa +1
Max-plus algebra is a kind of idempotent semiring over with two operations and .In this paper, we intr…
Partition-based discrete-time quantum walks
Norio Konno, Renato Portugal, Iwao Sato +1
We introduce a family of discrete-time quantum walks, called two-partition model, based on two equivalence-class partitions of the computational basis, which establish the notion o…
The spectra of the unitary marix of a 2-tessellable staggered quantum walk on a graph
Norio Konno, Iwao Sato, Etsuo Segawa
Recently, the staggered quantum walk (SQW) on a graph is discussed as a generalization of coined quantum walks on graphs and Szegedy walks. We present a formula for the time evolut…
The discrete-time quaternionic quantum walk on a graph
Norio Konno, Hideo Mitsuhashi, Iwao Sato
Recently, the quaternionic quantum walk was formulated by the first author as a generalization of discrete-time quantum walks. We treat the right eigenvalue problem of quaternionic…
Quantum graph walks II: Quantum walks on graph coverings
Yusuke Higuchi, Norio Konno, Iwao Sato +1
We give a new determinant expression for the characteristic polynomial of the bond scattering matrix of a quantum graph G. Also, we give a decomposition formula for the characteris…