Please use this identifier to cite or link to this item:
http://hdl.handle.net/1843/38121| Type: | Artigo de Periódico |
| Title: | Quantum walks and the size of the graph |
| Authors: | Gabriel de Morais Coutinho |
| Abstract: | 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 |
| Subject: | Teoria dos grafos Análise espectral Computação quântica |
| language: | eng |
| metadata.dc.publisher.country: | Brasil |
| Publisher: | Universidade Federal de Minas Gerais |
| Publisher Initials: | UFMG |
| metadata.dc.publisher.department: | ICX - DEPARTAMENTO DE CIÊNCIA DA COMPUTAÇÃO |
| Rights: | Acesso Aberto |
| metadata.dc.identifier.doi: | https://doi.org/10.1016/j.disc.2018.04.011 |
| URI: | http://hdl.handle.net/1843/38121 |
| Issue Date: | Oct-2019 |
| metadata.dc.url.externa: | https://www.sciencedirect.com/science/article/pii/S0012365X1830116X |
| metadata.dc.relation.ispartof: | Discrete Mathematics |
| Appears in Collections: | Artigo de Periódico |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| DCC _Coutinho Gabriel _Quantum walks and the size of the graph _Artigo 2019.pdf | 261.85 kB | Adobe PDF | View/Open |
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