A residual-augmented quantum dynamics for linear systems from elliptic PDEs provides an on-the-fly convergence indicator via residual register measurement, enabling dynamic stopping that can reduce evolution time for smooth right-hand sides, as shown in 2D Poisson FEM tests.
On Solving Classes of Positive-Definite Quantum Linear Systems with Quadratically Improved Runtime in the Condition Number.Quantum, 5:573
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A Residual-Based Quantum Linear System Algorithm with Dynamic Stopping and Applications to Elliptic PDEs
A residual-augmented quantum dynamics for linear systems from elliptic PDEs provides an on-the-fly convergence indicator via residual register measurement, enabling dynamic stopping that can reduce evolution time for smooth right-hand sides, as shown in 2D Poisson FEM tests.