B. Bhattacharjya

collaborators

10 papers

quant-ph2026

Perfect state transfer in Grover walks on normal Cayley graphs

Koushik Bhakta, Bikash Bhattacharjya

A Cayley graph $Cay (I^, S)$ over a finite group $I^$ is said to be normal if its connection set $S$ is a union of some conjugacy classes of $I^$ . This paper investiga…

math.CO2026

Pretty good fractional revival on abelian Cayley graphs

Akash Kalita, Bikash Bhattacharjya

Let $I^$ be a graph with the adjacency matrix $A$ . The transition matrix of $I^$ , denoted $H (t)$ , is defined as $H (t) := exp (- i t A)$ , where $i := - 1$ and $…

math.CO2026

Laplacian Pair State Transfer on Total Graphs

Akash Kalita, Bikash Bhattacharjya

The total graph of a graph $G$ , denoted $T (G)$ , is defined as the graph whose vertex set is the union of the vertex set of $G$ and the edge set of $G$ , such that two vert…

math.CO2026

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 $D_{n}$ . The Grover walk is a discrete-time quantum walk widely studied i…

math.CO2026

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…

math.CO2025

State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs

Akash Kalita, Bikash Bhattacharjya

The unitary Cayley graph, denoted $X_{n}$ , is the graph with vertex set $Z_{n}$ such that two distinct vertices $a$ and $b$ are adjacent if $a - b = u$ for some $u$ with $1 \leq…