Presentation
Solving Multidimensional Partial Differential Equations on Quantum Hardware
DescriptionQuantum computing has the potential to revolutionizing computational problem-solving, including solving complex partial-differential equations (PDEs). However, the currently used quantum computing techniques suffer from low accuracy, limited scalability, and high execution times. In this work, we propose an innovative algorithm to solve PDEs by combining the classical-discretization techniques with classical-to-quantum (C2Q) encoding, and unitary synthesis. Using a multidimensional Poisson equation as a case study, we validated our approach through experiments on noise-free and noisy simulators, hardware emulators, and quantum hardware from IBM. Our experimental work demonstrated favorable results in terms of accuracy, scalability, and execution time compared to quantum variational solvers.
Event Type
Networking
Work-in-Progress Poster
TimeSunday, June 226:00pm - 7:00pm PDT
LocationLevel 3 Lobby