My primary research interest concerns the understanding and analysis of complex network systems and quantum systems, in which, matrix theory/computations plays an important role. I primarily work on theory and numerical algorithms for problems involving structured matrices.
Many real world systems can be viewed as systems of interconnected systems. These systems can be considered as networks, the vertices represent individual systems and edges manifest dependencies between the systems. Often, these edges in a real network are known but dynamic or not known. This half-known dependencies contribute to complexities in understanding the conduct of the entire system. Networks can be represented by (structured) matrices and hence properties of these matrices become increasingly important for the analysis of the corresponding network systems.
The phenomena of entanglement in multipartite quantum mechanical systems has no classical analogue. In general, measures of quantum correlations of multipartite systems is an exciting topic in quantum information and computation. I am interested in such problems for mixed states which are represented by especially structured matrices.
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Localization of two dimensional quantum walks defined by generalized Grover coins Mandal A., Sarma Sarkar R., Adhikari B. By Journal of Physics A: Mathematical and Theoretical 56 - (2023)
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A characterization of orthogonal permutative matrices of order 4 Mandal A., Adhikari B. By Linear Algebra and Its Applications 654 102-124 (2022)
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Modeling Signed Networks as 2-Layer Growing Networks Pandey P.K., Adhikari B., Mazumdar M., Ganguly N. By IEEE Transactions on Knowledge and Data Engineering 34 3377-3390 (2022)
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Limit theorems and localization of three-state quantum walks on a line defined by generalized Grover coins Mandal A., Sarkar R.S., Chakraborty S., Adhikari B. By Physical Review A 106 - (2022)
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Eigenvalue embedding problem for quadratic regular matrix polynomials with symmetry structures Ganai T., Adhikari B. By Linear Algebra and Its Applications 640 118-148 (2022)
- Co-Principal Investigator
Ph. D. Students
Mou Pramanik
Area of Research: Computational Linear Algebra
Rima Hazra
Area of Research: Citation Networks
Rohit Sarma Sarkar
Area of Research: Quantum Computing
Sabyasachi Chakraborty
Area of Research: Quantum Computing
