Research Experience
This is an ongoing project I am doing with Prof. Adrian Lupascu from the Institute of Quantum Computing, University of Waterloo which was made possible thanks to the MITACS Globalink scholarship. I developed numerical simulations for creating coupling between superconducting transmons using fixed capacitive coupling and a tunable coupling scheme involving mediated coupling with a transmon. We created a novel scheme for qutrit entangling gates using parametric coupling between transmons. This results in two kinds of entangling gates depending on the AC drive frequency and using three of these gates along with local rotations a CZ gate can be obtained.
May 2022 - Present
This is a project that is part of my Bachelor's thesis I am doing with Prof. Sai Vinjanampathy of The Indian Institute of Technology Bombay. In this project, we propose a variationally obtained optimal single-shot quantum channel discrimination task. This involves preparing a parameterized probe state and a parameterized two-outcome measurement both of which are optimized to minimize error probability. This algorithm was applied to the task of quantum illumination to obtain a probe state which matches the optimal performance of the two-mode squeezed vacuum state. A manuscript is being prepared on this work.
Feb 2022 - Present
This is a project that I am doing with Prof. Bhaskaran Muralidharan of The Indian Institute of Technology Bombay. We conceptualized a solid state spintronic setup for the detection of localized Zeeman splitting harnessing the inherent sensitivity of resonant tunneling. I performed simulations using the Keldysh (NEGF) method to benchmark the signal which the setup. I also analytically derived the quantum fisher information for the sensing task and compared with the classical fisher information from measurements using which I demonstrated the near optimality of resonant tunneling channels as sensing probes.
January 2022 - November 2022
This was done as a supervised learning project under the guidance of Prof. Sai Vinjanampathy of The Indian Institute of Technology Bombay. In this project, we proposed a method for generating higher moments of Hermitian operators which uses block encoding into larger dimension unitaries. I demonstrated that to get efficiently higher moments of a Hermitian operator given a block encoding of it we can use ququarts since we need arbitrary controlled n-qubit unitaries, which have been realized using ququarts with O(n) overhead in operations. I also studied quantum error correction theory for qudits which allow for certain optimal codes not possible in qubits and analyzed concatenation success probabilities for the 5-qubit code and an encoding for qudits.
July 2021 - January 2022
This is a research internship I did done under Prof. Barak Dayan of The Weizmann Institute of Science. The main aim of this project is to be able to do coherent state population transfer in Rubidium 87 making use of a 4 level cavity STIRAP to be able to emit photons finally from a cavity. QuTip, SciPy ad NumPy were used for all the simulations and I built a framework which was capable of simulating N-STIRAP and cavity-STIRAP. We were able to achieve a transfer with blackman pulses of peaks 100 MHz and 10 MHz with an efficiency of 99.5% with a single photon detuning of 1 GHz and a two photon detuning of 2.18 MHz and timescale 25 µs.
March 2021 - July 2021
Key projects
This is a reading project I did under Prof. Alok Shukla as the In-Semester Undergraduate Research Project. I studied the problem of quantum simulation and examples of implementations of analog and digital quantum simulation. Also referred to Hartree-Fock theory along with its canonical transformations with an implementation using Given's rotations. Referred to seminal works in recent quantum simulations such as NMR implementation for quantum phase estimation and hardware efficient ansatz for VQEs (see report for details). Also studied configuration interaction theory.
October 2020 - May 2021
This was the course project done in the course PH 202 (Waves, Oscillations and Optics). We explored the results obtained in Kumel H. Kagalwala1 et al. “Bell's measure in classical optical coherence” and reproduced them along with some additional content into an executable paper which was a Jupyter notebook. We also demonstrated the possibility of a parity sensitive polarization device which can be constructed using an Mach Zender Interferometer along with a half wave plate. Using this device along with already mentioned devices in the paper, we demonstrated two qubit universality using polarization and parity DOF as the two qubits.
March 2021 - April 2021
This was the subject I took for the Summer of Science 2021 initiative of the MnP Club IIT Bombay. I explored various topics under the guidance of my senior mentor Som Phene. These topics include variational calculus, manifolds and Lagrangian mechanics on them, symmetries and symmetry breaking, Klein-Gordan field, Dirac field and Dirac hole theory. A summary of all my explorations can be found in the above linked report.
May 2021 - July 2021
This project was done under Prof. Amber Jain as the Summer Undergraduate Research Project. We read literature concerning different interpretations of quantum mechanics including Bohmian Mechanics and the Many Worlds Interpretation and objective collapse theories and also some interesting gedanken experiments which propose breaking points of these interpretations. We also explored various objective collapse theories such as CSL and GRW, and the experiments which have been done to prove bounds on the CSL parameters.
April 2020 - August 2020
This was the course project done in the course PH 567 (Non linear dynamics). We explored the results obtained in Zhixin Lu et al. “Resynchronization of circadian oscillators and the east-west asymmetry of jet-lag” and reproduced them using Python. We also simullated traveling where travel is non instantaneous (it is assumed to be instant in the paper since the scale is small) and observed slightly different dynamics.
October 2020 - September 2020
This was the subject I took for the Summer of Science 2020 initiative of the MnP Club IIT Bombay. I explored various topics under the guidance of my senior mentor Thariq Shanavas. These topics include quantum teleportation, quantum circuits, quantum Fourier transform, Grover's search algorithm and the hidden subgroup problem. I also took part in the IBM Quantum Challenge and got to learn how to use qiskit and was able to complete the challenge. You can find my repository for it here.
April 2020 - June 2020
This is a project for the Institute Technical Summer Project in which our team has built a tensorflow model which would look at a dataset of images of the leaves of apple trees. The model is built using transfer learning and we also used image augmentation. This was actually part of a kaggle competition and we obtained our data from there. The model was deployed on a website which can be used to submit pictures of leaves and have them classified.
April 2020 - June 2020
This was the course project done in the course PH 219 (Data analysis and interpretation). We were given data of proton-proton collisions at 13 TeV that was generated using the Pythia 8 Generator and using the transverse momentum data we found the variation of higher moments of averaged transverse momentum as we vary multiplicity classes. Cern's ROOT was used for the data analysis and you can find the macros in the linked code repository.
October 2020 - September 2020