| Full text | |
| Author(s): |
Coutinho, Gabriel
;
Portugal, Renato
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NATURAL COMPUTING; v. 18, n. 2, p. 7-pg., 2019-06-01. |
| Abstract | |
We characterize a close connection between the continuous-time quantum-walk model and a discrete-time quantum-walk version, based on the staggered model with Hamiltonians in a class of Cayley graphs, which can be considered as a discretization of continuous-time quantum walks. This connection provides examples of perfect state transfer and instantaneous uniform mixing in the staggered model. On the other hand, we provide some more examples of perfect state transfer and instantaneous uniform mixing in the staggered model that cannot be reproduced by the continuous-time model. (AU) | |
| FAPESP's process: | 13/03447-6 - Combinatorial structures, optimization, and algorithms in theoretical Computer Science |
| Grantee: | Carlos Eduardo Ferreira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 15/16339-2 - Algebraic graph theory methods in quantum information theory and extremal combinatorics, and connections to semidefinite programming |
| Grantee: | Gabriel de Morais Coutinho |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |