Hamiltonian Amplification

Speeding-up quantum dynamics is of paramount importance for quantum technology. However, in finite dimensions and without full knowledge of the dynamics, it is easily shown to be impossible. In sharp contrast we show that many continuous variable systems can be sped-up without such knowledge, given that the structure of the underlying Hamiltonian is known. We call the resultant procedure Hamiltonian amplification. The method relies on the application of local squeezing operations allowing to amplify even unknown or noisy couplings and frequencies by acting on individual modes. We discuss the performance, physical realisations, robustness and implications of Hamiltonian amplification. Furthermore, we show how to combine amplification with dynamical decoupling to achieve amplifiers that are free from environmental noise. Finally, a significant reduction in gate times of cavity resonator qubits illustrates one potential use of Hamiltonian amplification.