Chapter

Nonlinear oscillators and high fidelity qubit state measurement in circuit quantum electrodynamics

E. Ginossar, L. S. Bishop and S. M. Girvin

in Fluctuating Nonlinear Oscillators

Published in print July 2012 | ISBN: 9780199691388
Published online September 2012 | e-ISBN: 9780191742255 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691388.003.0008
Nonlinear oscillators and high fidelity qubit state measurement in circuit quantum electrodynamics

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This chapter analyzes the high excitation nonlinear response of the Jaynes–Cummings model in quantum optics when the qubit and cavity are strongly coupled. It studies the response in the parameter ranges appropriate for transmon qubits in the circuit quantum electrodynamics architecture. It focuses on the situation where the system behaves essentially as a nonlinear quantum oscillator and explores quantum and semi-classical dynamics. One of the central motivations is that under strong excitation tones, the nonlinear response can lead to qubit quantum state discrimination and the chapter then presents results for the cases when the qubit and cavity are on resonance or far off-resonance (dispersive).

Keywords: circuit QED; Jaynes–Cummings model; transmon qubits; quantum coherent control; qubit state measurement; quantum artificial devices; cavity QED

Chapter.  10481 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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