Quantum Computing

A literature review needs to be written in Overleaf for Masters thesis.

Systems of linear equations arise naturally in many real-life applications in a wide range of areas, such as in the solution of Partial Differential Equations, the calibration of financial models, fluid simulation or numerical field calculation. The Harrow-Hassidim-Lloyd (HHL) algorithm is a method for solving the quantum linear system of equations, which is used in a variety of scientific applications and quantum machine learning models such as linear regression, support vector machines, and recommender systems, among others. In this project, the student should learn about quantum machine learning (QML) models and how the HHL method offers the needed quantum speedup.
Deliverables: Reviewing the necessary background on elementary quantum algorithms. Explain how HHL is used in quantum machine learning models, and how it enables quantum speedup. Briefly discuss the remaining challenges ahead for HHL-based QML models and related methods.

Keywords: Quantum Machine Learning, Linear Equations Systems