Quantum Error Mitigation for Burgers Equation Solvers

This paper presents a hybrid quantum-classical framework for solving the Burgers equation on NISQ hardware. The key innovation is the use of an attention-based graph neural network to learn and mitigate errors in the quantum simulations. This approach leverages a large dataset of noisy quantum outputs and circuit metadata to predict error-mitigated solutions, consistently outperforming zero-noise extrapolation. This is significant because it demonstrates a data-driven approach to improve the accuracy of quantum computations on noisy hardware, which is a crucial step towards practical quantum computing applications.