Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-07-15
Phys. Rev. A 80, 043840 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Revised version: corrected typos, 8 pages, 6 figures, version with high resolution figures available at http://qudev.ethz.ch
Scientific paper
10.1103/PhysRevA.80.043840
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.
Baur Matthias
Bianchetti R.
Blais Alexandre
Filipp Stefan
Fink Johannes M.
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