1 citations · 2 across the 17 of their papers we have counts for
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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…
Laplacian Pair State Transfer on Total Graphs
Akash Kalita, Bikash Bhattacharjya
The total graph of a graph , denoted , is defined as the graph whose vertex set is the union of the vertex set of and the edge set of , such that two vert…
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 \( \langle a, b \rangle \)…