List of current and past projects

Here is an ensemble of all the random things from vaguely related subjects which I have tinkered around with!

• Computer science projects
• Math projects
• Talks given
• Other academic projects
• Course projects and notes (note: link redirects to different page)
• Miscellaneous non-academic projects (note: link redirects to different page)
• General projects (note: link results in infinite recursion and the eventual heat death of the universe)

Feel free to reach out if you wish to collaborate on any of these projects, or wish to propose corrections.

Computer science

Online Algorithms: UofT Dept. of CS Summer Research Program 2022

I worked with Prof. Allan Borodin on the study of online algorithms. While I was not able to create any original algorithms, I identified several open problems and created an overview of the current work on the prophet secretary problem. I also expanded upon proofs from conference articles, filling in proof details which were previously omitted in the original texts. I also learnt how to cut cake.

Quantum Simulation: CQIQC Summer Undergrad Fellowship 2022

I worked with Prof. Nathan Wiebe on creating a framework for quantum simulation algorithms which allow for non-trivial interactions in systems across different times.

Quantum Autoencoder: Matter Lab group 2022

I worked with Thi Ha Kyaw and Zijian Zhang on creating an automatized quantum autoencoder which can be used to detect phase transitions (similar to quantum fidelity approach) in quantum systems with an efficient training phase.

Nonunitary embeddings: UofT Research Opportunity Program 2021

I worked with Jakob Kottmann in the Matter Lab group of Prof. Aspuru-Guzik in creating an automatized implementation of nonunitary embeddings of quantum operators, and looked at implementing applications of this method in measurement reduction and quantum simulation.

Exploration of Quantum Algorithms for Convex Optimization

This was an informal exploration I started with the guidance of Prof. Nathan Wiebe, but never quite finished, of the theory of quantum algorithms for convex optimization. I aim to get back to completing this one day.

Math

Foundations of Quantum Mechanics notes

I am currently making some notes (WIP) to serve as an introduction to quantum mechanics and quantum information from the perspective of a mathematician. These notes derive from several sources, and I place emphasis on the following references.

• Lecture recordings of Prof. Marco Gualtieri from his course APM421 offered at UofT in Winter 2021
• Theory of Quantum Information by John Watrous
• Quantum Information: An Introduction by Masahito Hayashi

Introduction to Topology

I created a set of notes in collaboration with the fantastic Rishibh Praksh.

Talks given

These are talks which I can freely share publicly as they contain negligible confidential research content. Feel free to also share these (with credit) if you really liked them that much.

Quantum No Fast-Forwarding: No simulating the simulator

Currently a WIP. I will be presenting on the quantum no fast-forwarding theorem, and different interpretations of its proof, in the coming weeks at an internal group meeting. I will also be touching upon the time-energu uncertainty principle (TEUP), cases where TEUP can be violated, and what it means for no fast-forwarding results.

Open problems in online algorithm design

Culmination of DCS summer research program. I gave a talk about some notable open problems in online algorithm design that I identified over the summer. The content of the talk is less theoretically inclined than other talks because this was targeted at an audience of first-year undergraduates.

CUMC 2022: How to cut cake

I gave a talk at the Canadian Undergrad Math Conference at Université Laval, Québec City, on how to cut cake and the problem on fair online resource allocation.

Automatized Non-unitary Embeddings

I gave a talk, at an internal group meeting, about an automatized implementation of non-unitary quantum operators into an embedding within a larger unitary operator using the Tequila quantum package.

Other projects

Watch this space! I'm working on a lot of other random projects which are at various stages of completion, and I'll keep adding them here as I go along.

Introductory quantum computing for the high-school mathematician

A set of notes which is essentially a remix of my other notes intended to serve as an introduction to quantum computing for less mathematically-experienced student. Target audience could be thought of as non-math majors or the average freshman undergraduate or senior high-school student.

UofT Quantum Computing Club: Weekly quantum news segment

Organizing weekly quantum news segment for the UofT Quantum Computing Club.