Solving linear equation systems on noisy intermediate‐scale quantum computers
André Mielke, Tim Ricken · PAMM · 2021
Abstract Quantum computing promises classically unparalleled benefits for various applications. Its properties are exploited in the Harrow‐Hassidim‐Lloyd (HHL) algorithm that, in conjunction with quantum phase estimation, is capable of constructing quantum states that are proportional to the solution of linear equation systems and does so exponentially faster than the fastest known classical algorithms. We explore this capability by computing the nodal displacements of a 1‐dimensional loaded cantilever, discretized by using the finite element method (FEM).