3 papers
quant-ph2021
Lackadaisical quantum walks on 2D grids with multiple marked vertices
Nikolajs Nahimovs, Raqueline A. M. Santos
Lackadaisical quantum walk (LQW) is a quantum analog of a classical lazy walk, where each vertex has a self-loop of weight . For a regular 2D grid LQW c…
quant-ph2018
The role of tessellation intersection in staggered quantum walks
Raqueline A. M. Santos
The staggered quantum walk (SQW) model is defined by partitioning the graph into cliques, which are called polygons. We analyze the role that the size of the polygon intersection p…
quant-ph2016
Szegedy's quantum walk with queries
Raqueline A. M. Santos
When searching for a marked vertex in a graph, Szegedy's usual search operator is defined by using the transition probability matrix of the random walk with absorbing barriers at t…