Analysis and Applications of Variational Quantum Eigensolver Alfgorithms

Advisors: Ismael DeFarias, PhD and Renato Portugal, PhD

Project Status:

• Conducting research work done under the supervision of Dr. Ismael Regis de-Farias in collaboration with National Laboratory of Scientific Computing (LNCC) of Brazil
• Implemented methods to calculate Hilbert-Schmidt-Product and decompose any given square matrix into sum of Pauli matrices
• Created a computational framework for testing Variational Quantum Eigensolver (VQE) Algorithms
• Initiated a study to explore the dynamics of changing each component - Hermitian matrix type, variational form, circuit depth and optimizer - used in the VQE routine by conducting sensitivity analyses on two performance metrics – time taken to solve the problem and accuracy of the solution
• Presently conducting literature review of Quantum Computing applied to Quantum Chemistry and High Energy Physics

Awards and Funding:

• First Prize, Impact Talk at TTU URC ($500)

• First Prize, Virtual Presentation at TTU URC ($500)

• TRUE Undergraduate Research Project Funding Award 2020 ($500)

Poster and Oral Presentations:

• Oral Presentation at the TTU URC 2021

• Poster Presentation at the Quantum 2020