Amplification of quadratic Hamiltonians

Christian Arenz, Denys I. Bondar, Daniel Burgarth, Cecilia Cormick, Herschel Rabitz

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)


    Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.

    Original languageEnglish
    Article number271
    Pages (from-to)1-13
    Number of pages13
    Publication statusPublished - 20 May 2020


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