Dynamics of dispersive single-qubit readout in circuit quantum electrodynamics

R. Bianchetti, S. Filipp, M. Baur, J.M. Fink, M. Göppl, P. Leek, L. Steffen, A. Blais, A. Wallraff, Physical Review A - Atomic, Molecular, and Optical Physics 80 (2009).


Journal Article | Published
Author
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Abstract
The quantum state of a superconducting qubit nonresonantly coupled to a transmission line resonator can be determined by measuring the quadrature amplitudes of an electromagnetic field transmitted through the resonator. We present experiments in which we analyze in detail the dynamics of the transmitted field as a function of the measurement frequency for both weak continuous and pulsed measurements. We find excellent agreement between our data and calculations based on a set of Bloch-type differential equations for the cavity field derived from the dispersive Jaynes-Cummings Hamiltonian including dissipation. We show that the measured system response can be used to construct a measurement operator from which the qubit population can be inferred accurately. Such a measurement operator can be used in tomographic methods to reconstruct single and multiqubit states in ensemble-averaged measurements.
Publishing Year
Date Published
2009-10-30
Journal Title
Physical Review A - Atomic, Molecular, and Optical Physics
Acknowledgement
This work was supported by the SNF Project No. 111899 and ETH Zurich. A.B. was supported by NSERC, CIFAR, and the Alfred P. Sloan Foundation
Volume
80
Issue
4
IST-REx-ID

Cite this

Bianchetti R, Filipp S, Baur M, et al. Dynamics of dispersive single-qubit readout in circuit quantum electrodynamics. Physical Review A - Atomic, Molecular, and Optical Physics. 2009;80(4). doi:10.1103/PhysRevA.80.043840
Bianchetti, R., Filipp, S., Baur, M., Fink, J. M., Göppl, M., Leek, P., … Wallraff, A. (2009). Dynamics of dispersive single-qubit readout in circuit quantum electrodynamics. Physical Review A - Atomic, Molecular, and Optical Physics, 80(4). https://doi.org/10.1103/PhysRevA.80.043840
Bianchetti, R, Stefan Filipp, Matthias Baur, Johannes M Fink, M Göppl, Peter Leek, L. Steffen, Alexandre Blais, and Andreas Wallraff. “Dynamics of Dispersive Single-Qubit Readout in Circuit Quantum Electrodynamics.” Physical Review A - Atomic, Molecular, and Optical Physics 80, no. 4 (2009). https://doi.org/10.1103/PhysRevA.80.043840.
R. Bianchetti et al., “Dynamics of dispersive single-qubit readout in circuit quantum electrodynamics,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 80, no. 4, 2009.
Bianchetti R, Filipp S, Baur M, Fink JM, Göppl M, Leek P, Steffen L, Blais A, Wallraff A. 2009. Dynamics of dispersive single-qubit readout in circuit quantum electrodynamics. Physical Review A - Atomic, Molecular, and Optical Physics. 80(4).
Bianchetti, R., et al. “Dynamics of Dispersive Single-Qubit Readout in Circuit Quantum Electrodynamics.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 80, no. 4, American Physical Society, 2009, doi:10.1103/PhysRevA.80.043840.

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