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Alexandre Blais - One of the best experts on this subject based on the ideXlab platform.

  • quantum zeno effect in the strong measurement regime of Circuit quantum electrodynamics
    New Journal of Physics, 2016
    Co-Authors: D H Slichter, Alexandre Blais, Clemens Muller, R Vijay, S J Weber, Irfan Siddiqi
    Abstract:

    We observe the quantum Zeno effect—where the act of measurement slows the rate of quantum state transitions—in a superconducting qubit using Linear Circuit quantum electrodynamics readout and a near-quantum-limited following amplifier. Under simultaneous strong measurement and qubit drive, the qubit undergoes a series of quantum jumps between states. These jumps are visible in the experimental measurement record and are analyzed using maximum likelihood estimation to determine qubit transition rates. The observed rates agree with both analytical predictions and numerical simulations. The analysis methods are suitable for processing general noisy random telegraph signals.

  • josephson junction embedded transmission line resonators from kerr medium to in line transmon
    Physical Review A, 2012
    Co-Authors: Jerome Bourassa, Felix Beaudoin, Jay M Gambetta, Alexandre Blais
    Abstract:

    We provide a general method to find the Hamiltonian of a Linear Circuit in the presence of a nonLinearity. Focussing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system by taking into account exactly the effect of the quadratic (i.e. inductive) part of the Josephson potential. The nonLinearity is then found to lead to self and cross-Kerr effect, as well as beam-splitter type interactions between modes. By adjusting the parameters of the Circuit, the Kerr coefficient K can be made to reach values that are weak (K \kappa) or even very strong (K >> \kappa) with respect to the photon-loss rate \kappa. In the latter case, the resonator+junction Circuit corresponds to an in-line version of the transmon. By replacing the single junction by a SQUID, the Kerr coefficient can be tuned in-situ, allowing for example the fast generation of Schr\"odinger cat states of microwave light. Finally, we explore the maximal strength of qubit-resonator coupling that can be reached in this setting.

  • josephson junction embedded transmission line resonators from kerr medium to in line transmon
    Physical Review A, 2012
    Co-Authors: Jerome Bourassa, Felix Beaudoin, Jay M Gambetta, Alexandre Blais
    Abstract:

    We provide a general method to find the Hamiltonian of a Linear Circuit in the presence of a nonLinearity. Focusing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system by taking into account exactly the effect of the quadratic (i.e., inductive) part of the Josephson potential. The nonLinearity is then found to lead to self and cross-Kerr effects, as well as beam-splitter-type interactions between modes. By adjusting the parameters of the Circuit, the Kerr coefficient $K$ can be made to reach values that are weak ($Kl\ensuremath{\kappa}$), strong ($Kg\ensuremath{\kappa}$), or even very strong ($K\ensuremath{\gg}\ensuremath{\kappa}$) with respect to the photon-loss rate $\ensuremath{\kappa}$. In the latter case, the $\mathrm{resonator}+\mathrm{junction}$ Circuit corresponds to an in-line version of the transmon. By replacing the single junction by a SQUID, the Kerr coefficient can be tuned in situ, allowing, for example, the fast generation of Schr\"odinger cat states of microwave light. Finally, we explore the maximal strength of qubit-resonator coupling that can be reached in this setting.

Jerome Bourassa - One of the best experts on this subject based on the ideXlab platform.

  • josephson junction embedded transmission line resonators from kerr medium to in line transmon
    Physical Review A, 2012
    Co-Authors: Jerome Bourassa, Felix Beaudoin, Jay M Gambetta, Alexandre Blais
    Abstract:

    We provide a general method to find the Hamiltonian of a Linear Circuit in the presence of a nonLinearity. Focussing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system by taking into account exactly the effect of the quadratic (i.e. inductive) part of the Josephson potential. The nonLinearity is then found to lead to self and cross-Kerr effect, as well as beam-splitter type interactions between modes. By adjusting the parameters of the Circuit, the Kerr coefficient K can be made to reach values that are weak (K \kappa) or even very strong (K >> \kappa) with respect to the photon-loss rate \kappa. In the latter case, the resonator+junction Circuit corresponds to an in-line version of the transmon. By replacing the single junction by a SQUID, the Kerr coefficient can be tuned in-situ, allowing for example the fast generation of Schr\"odinger cat states of microwave light. Finally, we explore the maximal strength of qubit-resonator coupling that can be reached in this setting.

  • josephson junction embedded transmission line resonators from kerr medium to in line transmon
    Physical Review A, 2012
    Co-Authors: Jerome Bourassa, Felix Beaudoin, Jay M Gambetta, Alexandre Blais
    Abstract:

    We provide a general method to find the Hamiltonian of a Linear Circuit in the presence of a nonLinearity. Focusing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system by taking into account exactly the effect of the quadratic (i.e., inductive) part of the Josephson potential. The nonLinearity is then found to lead to self and cross-Kerr effects, as well as beam-splitter-type interactions between modes. By adjusting the parameters of the Circuit, the Kerr coefficient $K$ can be made to reach values that are weak ($Kl\ensuremath{\kappa}$), strong ($Kg\ensuremath{\kappa}$), or even very strong ($K\ensuremath{\gg}\ensuremath{\kappa}$) with respect to the photon-loss rate $\ensuremath{\kappa}$. In the latter case, the $\mathrm{resonator}+\mathrm{junction}$ Circuit corresponds to an in-line version of the transmon. By replacing the single junction by a SQUID, the Kerr coefficient can be tuned in situ, allowing, for example, the fast generation of Schr\"odinger cat states of microwave light. Finally, we explore the maximal strength of qubit-resonator coupling that can be reached in this setting.

Jay M Gambetta - One of the best experts on this subject based on the ideXlab platform.

  • josephson junction embedded transmission line resonators from kerr medium to in line transmon
    Physical Review A, 2012
    Co-Authors: Jerome Bourassa, Felix Beaudoin, Jay M Gambetta, Alexandre Blais
    Abstract:

    We provide a general method to find the Hamiltonian of a Linear Circuit in the presence of a nonLinearity. Focussing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system by taking into account exactly the effect of the quadratic (i.e. inductive) part of the Josephson potential. The nonLinearity is then found to lead to self and cross-Kerr effect, as well as beam-splitter type interactions between modes. By adjusting the parameters of the Circuit, the Kerr coefficient K can be made to reach values that are weak (K \kappa) or even very strong (K >> \kappa) with respect to the photon-loss rate \kappa. In the latter case, the resonator+junction Circuit corresponds to an in-line version of the transmon. By replacing the single junction by a SQUID, the Kerr coefficient can be tuned in-situ, allowing for example the fast generation of Schr\"odinger cat states of microwave light. Finally, we explore the maximal strength of qubit-resonator coupling that can be reached in this setting.

  • josephson junction embedded transmission line resonators from kerr medium to in line transmon
    Physical Review A, 2012
    Co-Authors: Jerome Bourassa, Felix Beaudoin, Jay M Gambetta, Alexandre Blais
    Abstract:

    We provide a general method to find the Hamiltonian of a Linear Circuit in the presence of a nonLinearity. Focusing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system by taking into account exactly the effect of the quadratic (i.e., inductive) part of the Josephson potential. The nonLinearity is then found to lead to self and cross-Kerr effects, as well as beam-splitter-type interactions between modes. By adjusting the parameters of the Circuit, the Kerr coefficient $K$ can be made to reach values that are weak ($Kl\ensuremath{\kappa}$), strong ($Kg\ensuremath{\kappa}$), or even very strong ($K\ensuremath{\gg}\ensuremath{\kappa}$) with respect to the photon-loss rate $\ensuremath{\kappa}$. In the latter case, the $\mathrm{resonator}+\mathrm{junction}$ Circuit corresponds to an in-line version of the transmon. By replacing the single junction by a SQUID, the Kerr coefficient can be tuned in situ, allowing, for example, the fast generation of Schr\"odinger cat states of microwave light. Finally, we explore the maximal strength of qubit-resonator coupling that can be reached in this setting.

Felix Beaudoin - One of the best experts on this subject based on the ideXlab platform.

  • josephson junction embedded transmission line resonators from kerr medium to in line transmon
    Physical Review A, 2012
    Co-Authors: Jerome Bourassa, Felix Beaudoin, Jay M Gambetta, Alexandre Blais
    Abstract:

    We provide a general method to find the Hamiltonian of a Linear Circuit in the presence of a nonLinearity. Focussing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system by taking into account exactly the effect of the quadratic (i.e. inductive) part of the Josephson potential. The nonLinearity is then found to lead to self and cross-Kerr effect, as well as beam-splitter type interactions between modes. By adjusting the parameters of the Circuit, the Kerr coefficient K can be made to reach values that are weak (K \kappa) or even very strong (K >> \kappa) with respect to the photon-loss rate \kappa. In the latter case, the resonator+junction Circuit corresponds to an in-line version of the transmon. By replacing the single junction by a SQUID, the Kerr coefficient can be tuned in-situ, allowing for example the fast generation of Schr\"odinger cat states of microwave light. Finally, we explore the maximal strength of qubit-resonator coupling that can be reached in this setting.

  • josephson junction embedded transmission line resonators from kerr medium to in line transmon
    Physical Review A, 2012
    Co-Authors: Jerome Bourassa, Felix Beaudoin, Jay M Gambetta, Alexandre Blais
    Abstract:

    We provide a general method to find the Hamiltonian of a Linear Circuit in the presence of a nonLinearity. Focusing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system by taking into account exactly the effect of the quadratic (i.e., inductive) part of the Josephson potential. The nonLinearity is then found to lead to self and cross-Kerr effects, as well as beam-splitter-type interactions between modes. By adjusting the parameters of the Circuit, the Kerr coefficient $K$ can be made to reach values that are weak ($Kl\ensuremath{\kappa}$), strong ($Kg\ensuremath{\kappa}$), or even very strong ($K\ensuremath{\gg}\ensuremath{\kappa}$) with respect to the photon-loss rate $\ensuremath{\kappa}$. In the latter case, the $\mathrm{resonator}+\mathrm{junction}$ Circuit corresponds to an in-line version of the transmon. By replacing the single junction by a SQUID, the Kerr coefficient can be tuned in situ, allowing, for example, the fast generation of Schr\"odinger cat states of microwave light. Finally, we explore the maximal strength of qubit-resonator coupling that can be reached in this setting.

Robert D Lorenz - One of the best experts on this subject based on the ideXlab platform.

  • improved nonLinear model for electrode voltage current relationship for more consistent online battery system identification
    IEEE Transactions on Industry Applications, 2013
    Co-Authors: Larry W Juang, Phillip J Kollmeyer, T M Jahns, Robert D Lorenz
    Abstract:

    An improved nonLinear model for the electrode voltage-current relationship for online battery system identification is proposed. In contrast to the traditional Linear-Circuit model, the new approach employs a more accurate model of the battery electrode nonLinear steady-state voltage drop based on the Butler-Volmer (BV) equation. The new form uses an inverse hyperbolic sine approximation for the BV equation. Kalman-filter-based system identification is proposed for determining the model parameters based on the measured voltage and current. Both models have been implemented for lead-acid batteries and exercised using test data from a Corbin Sparrow electric vehicle. A comparison of predictions for the two models demonstrates the improvements that can be achieved using the new nonLinear model. The results include improved battery voltage predictions that provide the basis for more accurate state-of-function readings.

  • improved nonLinear model for electrode voltage current relationship for more consistent online battery system identification
    Energy Conversion Congress and Exposition, 2011
    Co-Authors: Larry W Juang, Phillip J Kollmeyer, T M Jahns, Robert D Lorenz
    Abstract:

    An improved nonLinear model for the electrode voltage-current relationship for online battery system identification is proposed. In contrast with the traditional Linear-Circuit model, the new approach employs a more accurate model of the battery electrode nonLinear steady-state voltage drop based on the Butler-Volmer equation. The new form uses an inverse hyperbolic sine approximation for the Butler-Volmer equation. Kalman filter-based system identification is proposed for determining the model parameters based on the measured voltage and current. Both models have been implemented for lead-acid batteries and exercised using test data from a Corbin Sparrow electric vehicle. A comparison of predictions for the two models demonstrates the improvements that can be achieved using the new nonLinear model. The results include improved battery voltage predictions that provide the basis for more accurate state-of-function (SOF) readings.