This is an experiment to benchmark Quantum Machine Learning (QML) methods against classical Support Vector Machines, in the current NISQ era using Qiskit Machine Learning for quantum computing algorithms.

The task is well-motivated, the dataset and data processing described in detail, and benchmarked results are shown.

Please see the written report here.

An example business proposal for funding research of quantum-accelerated imaging in the medical field.

Link to report

A report on the historical development of quantum entanglement, starting from Einstein and Bohr through David Bohm and the Bell Inequalities

Link to report

A description of the Bloch sphere and its relation to quantum computing

Link to report

Early 2020 (pre-pandemic)

Note: I am not credited as a co-author. I supported and facilitated collaboration with Dr. David Ott (Sr. Staff Engineer) and Manish Gaur (Sr. Director, R&D Security) at VMware.

This is an unpublished paper describing the need for large enterprises to begin planning for Post-Quantum Cryptography (PQC) security algorithm migration. This is driven by advancements in quantum computing, specifically the looming security threat of Shor’s algorithm for factoring numbers, and also the ongoing NIST competition for PQC security standards.

Link to unpublished report.

Link to NIST PQC competition.

December 2013

This is a directed study report on numerical methods, specifically finding numerical solutions for nonlinear wave equations by discretizing the equation parameters and applying difference methods as an approximation for continuous derivatives. The report also includes an introduction to Elliptical Equations, Linear and Non-Linear Wave Equations, iterations and convergence, and techniques for approximating initial conditions with difference methods.

Link to report.

This report was written to satisfy the senior thesis requirements of a Bachelor of Science degree in Applied Mathematics.

December 2013

Final report for a Senior-level Thermal Physics course. We characterized polymers with different concentrations of graphene using ThermoGravimetric Analysis (TGA) and Differential Scanning Calorimetry (DSC).

Abstract: We took samples of pure PLGA, along with PLGA mixed with graphene nanoparticles and (NH2) and characterized the copolymer according to various thermal properties, including glass transition temperatures, changes in heat capacity, and degrees of crystallinity. We achieved this using the thermal techniques of differential scanning calorimetry and thermogravimetric analysis.

Link to report

Written in collaboration with Alba Rubi Banegas.

Summer 2013

This is a quantum computing algorithm for finding square roots of a positive-definite matrix, built on the architecture of the Harrow/Hassidim/Llloyd (HHL) algorithm for solving linear equations with a quantum computer. The original algorithm relies on eigendecomposition, breaking a matrix into form QAQ* and performing inversion operations on the diagonal eigenvalue matrix A in quantum superposition. We extend this idea to square roots rather than inversion, including analysis of error and runtime.

Link to report.

This report was written to satisfy the senior thesis requirements of a Bachelor of Science degree in Applied Mathematics.