Quantum Interior Point Methods

Making use of Quantum Linear Solvers and Block Encodings to achieve a quantum speedup over classical runtimes by solving the Newton system more efficiently.

Noise in NISQ Devices

Building up a description of physical errors in quantum computers from both individual gate and integrated quantum circuit aspects. 

Solving Combinatorial Problems in NISQ devices

Development and study of implementable QUBO formulations of combinatorial problems using QAOA algorithms.