Speaker
Mr
Koushik Bhakta
(Indian Institute of Technology Guwahati)
Description
In this work, we study pretty good state transfer (PGST) in Grover walks on graphs. We consider the transfer of quantum states localized at the vertices of a graph and use Chebyshev polynomials to analyze PGST between such states. In general, we find a necessary and sufficient condition for the occurrence of PGST on graphs. We then focus our analysis on abelian Cayley graphs and derive a necessary and sufficient condition for the occurrence of PGST on such graphs. Consequently, we obtain a complete characterization of PGST on unitary Cayley graphs. Our results yield infinite families of graphs that exhibit PGST yet do not exhibit perfect state transfer.
Authors
Mr
Koushik Bhakta
(Indian Institute of Technology Guwahati)
Prof.
Bikash Bhattacharjya
(Indian Institute of Technology Guwahati)