Quantum walks and the size of the graph
| dc.creator | Gabriel de Morais Coutinho | |
| dc.date.accessioned | 2021-09-22T01:15:31Z | |
| dc.date.accessioned | 2025-09-09T01:31:50Z | |
| dc.date.available | 2021-09-22T01:15:31Z | |
| dc.date.issued | 2019-10 | |
| dc.format.mimetype | ||
| dc.identifier.doi | https://doi.org/10.1016/j.disc.2018.04.011 | |
| dc.identifier.issn | 0012-365X | |
| dc.identifier.uri | https://hdl.handle.net/1843/38121 | |
| dc.language | eng | |
| dc.publisher | Universidade Federal de Minas Gerais | |
| dc.relation.ispartof | Discrete Mathematics | |
| dc.rights | Acesso Aberto | |
| dc.subject | Teoria dos grafos | |
| dc.subject | Análise espectral | |
| dc.subject | Computação quântica | |
| dc.subject.other | Quantum walk | |
| dc.subject.other | Spectral bounds | |
| dc.subject.other | State transfer | |
| dc.title | Quantum walks and the size of the graph | |
| dc.type | Artigo de periódico | |
| local.citation.epage | 2769 | |
| local.citation.issue | 10 | |
| local.citation.spage | 2765 | |
| local.citation.volume | 342 | |
| local.description.resumo | A continuous-time quantum walk is modelled using a graph. In this short paper, we provide lower bounds on the size of a graph that would allow for some quantum phenomena to occur. Among other things, we show that, in the adjacency matrix quantum walk model, the number of edges is bounded below by a cubic function on the eccentricity of a periodic vertex. This gives some idea on the shape of a graph that would admit periodicity or perfect state transfer. We also raise some extremal type of questions in the end that could lead to future research | |
| local.identifier.orcid | https://doi.org/10.1016/j.disc.2018.04.011 | |
| local.publisher.country | Brasil | |
| local.publisher.department | ICX - DEPARTAMENTO DE CIÊNCIA DA COMPUTAÇÃO | |
| local.publisher.initials | UFMG | |
| local.url.externa | https://www.sciencedirect.com/science/article/pii/S0012365X1830116X |