Xu; A. Kitaev, Alexei Yu. On this Wikipedia the language links are at the top of the page across from the article title. Archived from the original on October 13, Bulletin of the American Mathematical Society. Casimir effect Quantum statistical mechanics Quantum field theory History Quantum gravity Relativistic quantum mechanics. Over the years, experimentalists have constructed small-scale quantum computers using trapped ions and superconductors. An adiabatic quantum computer , based on quantum annealing , decomposes computation into a slow continuous transformation of an initial Hamiltonian into a final Hamiltonian, whose ground states contain the solution.