Associate Professor, September 2021 - August 2023, Department of Mathematics, IIT Kharagpur, India
Assistant Professor, January 2015 - September 2021, Department of Mathematics, IIT Kharagpur, India
Visiting Scientist, January - May 2019, Simons Institute for the Theory of Computing, University of California Berkeley, USA
Visiting Researcher, September - December 2018, Institute for Computational and Experimental Research in Mathematics, Brown University, USA
Assistant Professor, December 2009 - January 2015, IIT Jodhpur, India
Visiting Scientist, May-July 2013, TU Berlin and Berlin Mathematical School, Germany
Institute Postdoctoral Fellow, January-December 2009, Department of Electrical Engineering, IIT Bombay, India
Visiting Ph. D. student, April-May 2008, ETH Zurich, Switzerland
Edited Book
Vijay V., Yadav S. K., Adhikari B., Seshadri H., and Fulwani D. K., (eds.) Systems Thinking Approach for Social Problems: Proceedings of 37th National Systems Conference, December 2013. Vol. 327. Springer, 2015
Papers (J: Journal, C: Conference)
[C] Adhikari B., Signed network models for portfolio optimization, In: Cherifi, H., M. Rocha, L., Cherifi, C., Ertem, M.Z. (eds) Complex Networks & Their Applications XIV. COMPLEX NETWORKS 2025. Studies in Computational Intelligence, vol 1265, pp. 3–14, Springer, 2026
[J] Mourya S., Leipold H., and Adhikari, B., Contextual quantum neural networks for stock price prediction, Scientific Reports, 16, 4454, 2026
[J] Adhikari B., Random sampling of permutations using quantum circuits, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 45 (2), pp. 631-644, 2026
[C] Sarkar R.S., Chakraborty S., and Adhikari B., Scalable quantum circuits of exponential of Pauli strings and its applications to Hamiltonian simulations, In 2025 IEEE International Conference on Quantum Computing and Engineering (QCE), pp. 1837-1848. IEEE, 2025
[J] Mandal A., Adhikari B., and Kannan MR., On the eigenvalue region of permutative doubly stochastic matrices, Bulletin of the Iranian Mathematical Society, 51 (1), 4, 2025
[J] Singh A., Srivastava R., Adhikari B., and Yadav SK., Structural balance and spectral properties of generalized corona product of signed graphs, Proyecciones (Antofagasta) 44 (2), pp. 216-240, 2025
[J] Mandal A., and Adhikari B., On the trace-zero doubly stochastic matrices of order 5, Linear Algebra and its Applications, 704, pp. 340-360, 2025
[J] Sarkar R.S., and Adhikari B., Quantum circuit model for discrete-time three-state quantum walks on Cayley graphs, Physical Review A, 110, 012617, 2024
[J] Sarkar R.S., and Adhikari B., Discrete-time quantum walks on Cayley graphs of Dihedral groups using generalized Grover coins, Quantum Information Processing, 23:5, pp. 1-28, 2024
[C] Sarkar R.S., and Adhikari B., Scalable quantum circuits for n-qubit unitary matrices, In 2023 IEEE International Conference on Quantum Computing and Engineering (QCE), pp. 1078-1088. IEEE, 2023
[J] Hazra R., Singh M., Goyal P., Adhikari B. and Mukherjee A., Modeling interdisciplinary interactions among physics, mathematics and computer science, Journal of Physics: Complexity, 4(4), 045001, 2023
[J] Mandal A., Sarkar R.S., and Adhikari B., Localization of two-dimensional quantum walks defined by generalized Grover coins, Journal of Physics A: Mathematical and Theoretical, 56(2), p.025303, 2023
[J] Adhikari B., Singh A., and Yadav S.K., Corona product of signed graphs and its application to modeling signed networks, Discrete Mathematics, Algorithms and Applications, 15(1), 2250062, 2023
[J] Mandal A., Sarkar R.S., Chakraborty S., and Adhikari B., Limit theorems and localization of three-state quantum walks on a line defined by generalized Grover coins, Physical Review A, 106, 042405, 2022
[J] Mandal A., and Adhikari B., A characterization of orthogonal permutative matrices of order 4, Linear Algebra and its Applications, 654, pp. 102-124, 2022
[J] Pandey P.K., Adhikari B., Mazumdar M., and Ganguly N., Modeling signed networks as 2-layer growing networks, IEEE Transactions on Knowledge and Data Engineering, 34(7) pp. 3377-3390, 2022
[J] Ganai T., and Adhikari B., Eigenvalue embedding problem for quadratic regular matrix polynomials with symmetry structures, Linear Algebra and its Applications, 640, pp. 118-148, 2022
[J] Ganai T., and Adhikari B., Preserving spectral properties of structured matrices under structured perturbations, Linear Algebra and its Applications, 629, pp. 168-191, 2021
[J] Adhikari B., Datta B.N., Ganai T., and Karow M., Updating structured matrix pencils with no spillover effect on unmeasured spectral data and deflating pair, Linear Algebra and its Applications, 624, pp. 318-348, 2021
[J] Singh S., Adhikari B., Dutta S., and Zueco D., Perfect state transfer on hypercubes and its implementation using superconducting qubits, Physical Review A, 102, 062609, 2020
[J] Sarkar R.S., Mandal A., and Adhikari B., Periodicity of lively quantum walks on cycles with generalized Grover coin, Linear Algebra and its Applications, 604, pp. 399-424, 2020
[J] Dutta S. and Adhikari B., Construction of cospectral graphs, Journal of Algebraic Combinatorics, 52, pp. 215–235, 2020
[J] Pandey P.K., Adhikari B., and Chakraborty S., A diffusion protocol for detection of link failure and utilization of resources in multi-agent systems, IEEE Transactions on Network Science and Engineering, 7(3), pp. 1493-1507, 2020
[C] Hazra R., Singh M., Goyal P., Adhikari B., Mukherjee A., The Rise and Rise of Interdisciplinary Research: Understanding the Interaction Dynamics of Three Major Fields – Physics, Mathematics and Computer Science, ICADL 2019, Lecture Notes in Computer Science, 11853, Springer
[J] Sharma R., Adhikari B., and Krueger T., Self-organized corona graphs: a deterministic complex network model with hierarchical structure, Advances in Complex Systems, 22 (5), 1950019 2019
[J] Dutta S., Adhikari B. and Banerjee S., Condition for zero and nonzero discord in graph Laplacian quantum states, International Journal of Quantum Information, 17(02), pp. 1950018, 2019
[J] Maitra A., Adhikari B. and Adhikari S., Proposal for dimensionality testing in quantum private query (QPQ), Quantum Information and Computation, 18(13&14), pp. 1125–1142, 2018
[J] Pandey P.K., Adhikari B. and Chakraborty J., Interpreting nucleation as a network formation process, Journal of Mathematical Chemistry, 56(5), pp. 1467-1480, 2018
[J] Pandey P.K. and Adhikari B., A parametric model approach for structural reconstruction of scale-free networks, IEEE Transactions on Knowledge and Data Engineering, 29(10), pp. 2072-2085, 2017
[J] Jajoo G., Kumar Y., Yadav SK, Adhikari B. and Kumar A., Blind signal modulation recognition through clustering analysis of constellation signature, Expert Syst. With Appls, 90, pp.13-22, 2017
[J] Singh R. and Adhikari B., Measuring the balance of signed networks and its application to sign prediction, Journal of Statistical Mechanics:Theory and Experiment, 063302, pp. 1-16, 2017
[J] Dutta S., Adhikari B. and Banerjee S., Quantum discord of states arising from graphs, Quantum Information Processing, 16:183, pp. 1-17, 2017
[J] Sharma R., Adhikari B. and Mishra A., Structural and spectral properties of corona graphs, Discrete Applied Mathematics, 228, pp. 14-31, 2017
[J] Adhikari B., Banerjee S., Adhikari S. and Kumar A., Laplacian matrices of weighted digraphs represented as quantum states, Quantum Information Processing, 16:79, pp. 1-22, 2017
[C] Pal D., and Adhikari B., Games on Network Involving Social Relations: Enmity and Friendship, 13th Meeting of the Society for Social Choice and Welfare, Lund Sweden 2016
[J] Dutta S., Adhikari B., Banerjee S. and Srikanth R., Bipartite separability and nonlocal quantum operations on graphs, Physical Review A, 94, 012306, pp. 1-10, 2016
[J] Dutta S., Adhikari B. and Banerjee S., A graph theoretical approach to states and unitary operations, Quantum Information Processing, 15(5), pp. 2193-2212, 2016
[J] Adhikari B. and Alam R., Structured Procrustes problem, Linear Algebra and its Applications, 490, pp. 145-161, 2016
[C] Pandey P.K., Adhikari B. and Gupta R., Measuring diversity of network models using distorted information diffusion process, 2015 7th International Conference on Communication Systems and Networks (COMSNETS), Bangalore, India, 2015, pp. 1-4, IEEE 2015
[C] Pal D., Adhikari B. and Mazumdar M., Strategic network formation involving social relations: Enmity and friendship, 2015 7th International Conference on Communication Systems and Networks (COMSNETS), Bangalore, India, 2015, pp. 1-6, IEEE 2015
[C] Sharma R., Adhikari B., and Mishra A., On Spectra of Corona Graphs, CALDAM 2015, Lecture Notes in Computer Science, 8959, Springer
[J] Pandey P.K. and Adhikari B., Context dependent preferential attachment model for complex networks, Physica A: Statistical Mechanics and its Applications, 436, pp. 499-508, 2015
[J] Adhikari B. and Alam R., Structured mapping problems for linearly structured matrices, Linear Algebra and its Applications, 444, pp. 132-145, 2014
[J] Adhikari B., Vector space of linearizations for the quadratic two-parameter matrix polynomial, Linear and Multilinear Algebra, 61(5), pp. 603-616, 2013
[J] Adhikari B. and Alam R., On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations, Linear Algebra and its Appls., 434(9), pp. 1989-2017, 2011
[J] Adhikari B., Alam R. and Kressner D., Structured eigenvalue condition numbers and linearizations for matrix polynomials, Linear Algebra and its Applications, 435(9), pp. 2193-2221, 2011
[J] Adhikari B. and Alam R., Structured backward errors and pseudospectra of structured matrix pencils, SIAM Journal on Matrix Analysis and Applications, 31(2), pp. 331-359, 2009
Preprints
Sarkar R. S., and Adhikari B., A quantum neural network framework for scalable quantum circuit approximation of unitary matrices, arXiv:2405.00012
Adhikari B., and Jha A., Local Hamiltonian decomposition and classical simulation of parametrized quantum circuits, arXiv:2401.13156
Adhikari B., Gross E., Härkönen M., and Tsigaridas E., One-connection rule for structural equation models, arXiv:2210.00239
Banerjee B., Pandey P. K., and Adhikari B., A model for the spread of an epidemic from local to global: A case study of COVID-19 in India, arXiv:2006.06404
Pandey P. K., and Adhikari B., Why lockdown : On the spread of SARS-CoV-2 in India, a network approach, arXiv:2004.11973
Dutta S., Adhikari B., and Banerjee S., Seidel switching for weighted multi-digraphs and its quantum perspective, arXiv:1608.07830
Singh R., Patra B. K., and Adhikari B., A Complex Network Approach for Collaborative Recommendation, arXiv:1510.00585
Adhikari B., Backward errors and linearizations for palindromic matrix polynomials, arXiv:0812.4154