Koushik Bhakta

activity

20242026

most citedPeriodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs

1 citations · 1 across the 7 of their papers we have counts for

collaborators

8 papers

math.CO2026

A complete classification of perfect state transfer in Grover walks on abelian Cayley graphs

Koushik Bhakta, Bikash Bhattacharjya

We completely classify connected Cayley graphs over finite abelian groups that exhibit perfect state transfer in Grover walks. First, we show that a Cayley graph over any finite gr…

quant-ph2026

Perfect state transfer in Grover walks on normal Cayley graphs

Koushik Bhakta, Bikash Bhattacharjya

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

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.CO2025

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…

math.CO2025

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…

math.CO2025

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.CO2024★ 1 cited

Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs

Koushik Bhakta, Bikash Bhattacharjya

The quadratic unitary Cayley graph $G_{Z_{n}}$ has vertex set $Z_{n} := {0, 1, \dots, n - 1}$ , where two vertices $u$ and $v$ are adjacent if and only if $u…

math.CO2024

Grover walks on unitary Cayley graphs and integral regular graphs

Koushik Bhakta, Bikash Bhattacharjya

The unitary Cayley graph has vertex set $\{0,1, \hdots ,n-1\}$, where two vertices $u$ and $v$ are adjacent if $g cd (u - v, n) = 1$ . In this paper, we study periodicity and perfect…