Research

I am interested in algebraic graph theory and its applications to quantum computation and quantum information. More specifically, quantum walks on graphs. Currently, we are investigating quantum state transfer in Grover walks on graphs. The Grover walk is a discrete-time quantum walk.

Research Keywords

Algebraic graph theory; Quantum computing; Quantum walks; Cayley graphs; Association schemes; Quantum state transfer

Publications

1. KB and Bikash Bhattacharjya, State transfer in Grover walks on unitary and quadratic unitary Cayley graphs over finite commutative rings. Discrete Mathematics, 349(8):115151, 2026. [arXiv]

2. KB and Bikash Bhattacharjya, Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs. Quantum Information Processing, 24:260, 2025. [arXiv] 

Preprints

3. KB and Bikash Bhattacharjya. Perfect state transfer in Grover walks on normal Cayley graphs, 2026. [arXiv]

4. KB, Bikash Bhattacharjya, and Xiwang Cao. Perfect state transfer in Grover walks on dihedral Cayley graphs, 2026. [arXiv]

5. KB and Bikash Bhattacharjya. Pretty good state transfer in Grover walks on abelian Cayley graphs, 2025. [arXiv]

6. KB and Bikash Bhattacharjya. Perfect state transfer in Grover walks on association schemes and distance-regular graphs, 2025. [arXiv]