A discrete-time staggered quantum walk was recently introduced as a generalization that allows to unify other versions, such as the coined and Szegedy's walk. However, it also produces new forms of quantum walks not covered by previous versions. To explore their properties, we study here the staggered walk on a hexagonal lattice. Such a walk is defined using a set of overlapping tessellations that cover the graph edges, and each tessellation is a partition of the node set into cliques. The hexagonal lattice requires at least three tessellations. Each tessellation is associated with a local unitary operator and the product of the local operators defines the evolution operator of the staggered walk on the graph. After defining the evolution operator on the hexagonal lattice, we analyze the quantum walk dynamics with the focus on the position standard deviation and localization. We also obtain analytic results for the time complexity of spatial search algorithms with one marked node using cyclic boundary conditions.
The interest in quantum walks has been steadily increasing during the last two decades. It is still worth to present new forms of quantum walks that might find practical applications and new physical behaviors. In this work, we define discrete-time quantum walks on arbitrary oriented graphs by partitioning a graph into tessellations, which is a collection of disjoint cliques that cover the vertex set. By using the adjacency matrices associated with the tessellations, we define local unitary operators, whose product is the evolution operator of our quantum walk model. We introduce a parameter, called α, that quantifies the amount of orientation. We show that the parameter α can be tuned in order to increase the amount of quantum walk-based transport on oriented graphs.
Este artigo apresenta a construção e publicação de um repositório de dados utilizados e desenvolvidos no âmbito do projeto Covid Data Analytics (CDA), executado pelo Departamento de Ciência da Computação da UFMG. O projeto visou monitorar aspectos referentes à situação social, econômica e epidemiológica da COVID-19 no Brasil a partir da análise de dados provenientes de fontes oficiais e não oficiais, de redes sociais online e da web em geral. A construção do repositório, contendo 18 atributos e 1086 registros, se baseou na coleta direta de dados das fontes selecionadas, os quais foram posteriormente enriquecidos e, finalmente, disponibilizados por meio de uma ferramenta de busca desenvolvida exclusivamente para eles.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.