Decoherence on staggered quantum walks

RAM Santos, F de L. Marquezino - Physical Review A, 2022 - APS
The decoherence phenomenon has been widely studied in different types of quantum walks.
In this work we show how to model decoherence inspired by percolation on staggered …

Total tessellation cover: Bounds, hardness, and applications

A Abreu, L Cunha, C Figueiredo, F Marquezino… - Discrete Applied …, 2022 - Elsevier
The concept of graph tessellation cover was defined in the context of quantum walk models,
and is a current research area in graph theory. In this work, we propose a generalization …

The spectra of the unitary matrix of an N-tessellable staggered quantum walk on a graph

N Konno, Y Ide, I Sato - Linear Algebra and its Applications, 2021 - Elsevier
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 …