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Dr Mulherkar's research interests are in quantum computing. He has previously worked on quantum walks, quantum channels with memory and applications of quantum spin chains to quantum computing. He is also interested in research on computer science education.
Dr Mulherkar's teaching interests are in foundational courses in computer science and mathematics. He has previously taught courses such as Linear Algebra, Mathematical Optimization, Probability and Statistics, Quantum Computing and Computational Finance.
J. Mulherkar, R. Rajdeepak, and V. Sunitha, Implementation of quantum hitting times of cubelike graphs on ibm’s qiskit platform, International Journal of Quantum information, World Scientific, vol. 2250020, 2022
J. Mulherkar and V. Sunitha, Capacity of a quantum memory channel correlated by matrix product states, Quantum Information Processing, vol. 17 (4) 80, 2018
J. Mulherkar, Classical and entanglement assisted capacity of a qubit depolarizing channel, International Journal of Quantum Information, vol. 1650017, 2016
K. Marchand, J. Mulherkar, and B. Nachtergaele, Entropy rate calculations of algebraic measures, Proceedings of International Symposium on Information theory (ISIT), Boston, (2012)
T. Michoel, J. Mulherkar, and B. Nachtergaele, Implementing quantum gates using the ferromagnetic quantum spin chain with kink boundary conditions, New Journal of Physics, Focus issue on Quantum Information and Many Body Theory, vol. 133, 2010