7 papers
Perfect state transfer in Grover walks on normal Cayley graphs
Koushik Bhakta, Bikash Bhattacharjya
A Cayley graph over a finite group is said to be normal if its connection set is a union of some conjugacy classes of . This paper investiga…
Perfect state transfer in Grover walks on dihedral Cayley graphs
Koushik Bhakta, Bikash Bhattacharjya, Xiwang Cao
The paper investigates perfect state transfer (PST) in Grover walks on Cayley graphs over the dihedral group . The Grover walk is a discrete-time quantum walk widely studied i…
State transfer in Grover walks on unitary and quadratic unitary Cayley graphs over finite commutative rings
Koushik Bhakta, Bikash Bhattacharjya
This paper focuses on periodicity and perfect state transfer of Grover walks on two well-known families of Cayley graphs, namely, the unitary Cayley graphs and the quadratic unitar…
Pretty good state transfer in Grover walks on abelian Cayley graphs
Koushik Bhakta, Bikash Bhattacharjya
In this paper, we study pretty good state transfer (PGST) in Grover walks on graphs. We consider transfer of quantum states that are localized at the vertices of a graph and we use…
Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs
Koushik Bhakta, Bikash Bhattacharjya
The quadratic unitary Cayley graph has vertex set , where two vertices and are adjacent if and only if $u…
Perfect state transfer in Grover walks on association schemes and distance-regular graphs
Koushik Bhakta, Bikash Bhattacharjya
This paper investigates perfect state transfer in Grover walks, a model of discrete-time quantum walks. We establish a necessary and sufficient condition for the occurrence of perf…