05C50 Online Seminar: Sarojini Mohapatra
Topic
Pair state transfer on graphs with isomorphic branches
Speakers
Details
In this talk, we discuss pair state transfer on graphs with respect to the adjacency matrix. We show that the evolution of certain pair states in a quantum network with isomorphic branches depends solely on the local structure, and it remains unaffected even if the global structure is altered. Furthermore, all graphs that enable high-fidelity vertex state transfer can be considered as isomorphic branches of a quantum network to exhibit high-fidelity pair state transfer. This result provides a framework for constructing infinite families of graphs, such as trees and unicyclic graphs, that exhibit perfect pair state transfer. In particular, we characterize the existence of pair state transfer in various graphs, including paths and cycles.
Additional Information
The 05C50 Online is an international seminar about graphs and matrices held twice a month on Fridays.
Time: 8 AM Pacific / 10 AM Central
For more information, visit https://sites.google.com/view/05c50online/home.
If you would like to attend, please register using this form to receive the Zoom links.