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Estimation of a general time-dependent Hamiltonian for a single qubit

Author

Listed:
  • L. E. de Clercq

    (Institute for Quantum Electronics, ETH Zürich)

  • R. Oswald

    (Institute for Quantum Electronics, ETH Zürich)

  • C. Flühmann

    (Institute for Quantum Electronics, ETH Zürich)

  • B. Keitch

    (Institute for Quantum Electronics, ETH Zürich
    Present address: Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK)

  • D. Kienzler

    (Institute for Quantum Electronics, ETH Zürich)

  • H. -Y. Lo

    (Institute for Quantum Electronics, ETH Zürich)

  • M. Marinelli

    (Institute for Quantum Electronics, ETH Zürich)

  • D. Nadlinger

    (Institute for Quantum Electronics, ETH Zürich)

  • V. Negnevitsky

    (Institute for Quantum Electronics, ETH Zürich)

  • J. P. Home

    (Institute for Quantum Electronics, ETH Zürich)

Abstract

The Hamiltonian of a closed quantum system governs its complete time evolution. While Hamiltonians with time-variation in a single basis can be recovered using a variety of methods, for more general Hamiltonians the presence of non-commuting terms complicates the reconstruction. Here using a single trapped ion, we propose and experimentally demonstrate a method for estimating a time-dependent Hamiltonian of a single qubit. We measure the time evolution of the qubit in a fixed basis as a function of a time-independent offset term added to the Hamiltonian. The initially unknown Hamiltonian arises from transporting an ion through a static laser beam. Hamiltonian estimation allows us to estimate the spatial beam intensity profile and the ion velocity as a function of time. The estimation technique is general enough that it can be applied to other quantum systems, aiding the pursuit of high-operational fidelities in quantum control.

Suggested Citation

  • L. E. de Clercq & R. Oswald & C. Flühmann & B. Keitch & D. Kienzler & H. -Y. Lo & M. Marinelli & D. Nadlinger & V. Negnevitsky & J. P. Home, 2016. "Estimation of a general time-dependent Hamiltonian for a single qubit," Nature Communications, Nature, vol. 7(1), pages 1-8, September.
    • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms11218
    DOI: 10.1038/ncomms11218
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