21 citations · 25 across the 29 of their papers we have counts for
6 papers · 1 filter
State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs
Akash Kalita, Bikash Bhattacharjya
The unitary Cayley graph, denoted , is the graph with vertex set such that two distinct vertices and are adjacent if for some with $1 \leq…
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…
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…
On Hamiltonicity and Perfect Codes in Non-Cyclic Graphs of Finite Groups
Parveen Parveen, Bikash Bhattacharjya
Let \( G \) be a finite non-cyclic group. Define \( \mathrm{Cyc}(G) \) as the set of all elements \( a \in G \) such that for any , the subgroup \( \langle a, b \rangle \)…
Pretty good fractional revival on abelian Cayley graphs
Akash Kalita, Bikash Bhattacharjya
Let be a graph with the adjacency matrix . The transition matrix of , denoted , is defined as , where and …
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…