Practical Quantum Computing

In the last years, several quantum algorithms that try to address problem of partial differential equation solving have been devised. On one side, "direct" aim at encoding solution PDE by executing large circuit. other variational approximate small circuits and making profit classical optimisers. this work we propose an experimental study costs (in terms gate number execution time on a idealised hardware created from realistic data) associated with algorithm: wave solver devised in [PCS. Costa, S. Jordan, A. Ostrander, Phys. Rev. A 99, 012323, 2019]. We show our implementation agrees theoretical big-O complexity algorithm. also explain great details steps discuss some possibilities improvements. Finally, proves experimentally can be solved computer, even if direct algorithm chosen will require error-corrected chips, which are not believed available short-term.