Weak qubit measurement with a nonlinear cavity: beyond perturbation theory.
@article{Laflamme2012WeakQM, title={Weak qubit measurement with a nonlinear cavity: beyond perturbation theory.}, author={Catherine Laflamme and Aashish A Clerk}, journal={Physical review letters}, year={2012}, volume={109 12}, pages={ 123602 } }
We analyze the use of a driven nonlinear cavity to make a weak continuous measurement of a dispersively coupled qubit. We calculate the backaction dephasing rate and measurement rate beyond leading-order perturbation theory using a phase-space approach which accounts for cavity noise squeezing. Surprisingly, we find that increasing the coupling strength beyond the regime describable by leading-order perturbation theory (i.e., linear response) allows one to come significantly closer to the…
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References
SHOWING 1-10 OF 45 REFERENCES
Back-action of a driven nonlinear resonator on a superconducting qubit
- Physics
- 2012
We study the backaction of a driven nonlinear resonator on a multilevel superconducting qubit. Using unitary transformations on the multilevel Jaynes-Cummings Hamiltonian and quantum optics master…
Quantum-limited amplification with a nonlinear cavity detector
- Physics
- 2011
We consider the quantum measurement properties of a driven cavity with a Kerr-type nonlinearity that is used to amplify a dispersively coupled input signal. Focusing on an operating regime that is…
Qubit-photon interactions in a cavity: Measurement-induced dephasing and number splitting
- Physics
- 2006
We theoretically study measurement-induced dephasing of a superconducting qubit in the circuit QED architecture and compare the results to those obtained experimentally by Schuster et al. [Phys. Rev.…
Circuit QED with a nonlinear resonator: ac-Stark shift and dephasing.
- PhysicsPhysical review letters
- 2011
Spectroscopic measurements of a superconducting qubit dispersively coupled to a nonlinear resonator driven by a pump microwave field yield a precise characterization of the resonator nonlinearity.
Using a qubit to measure photon-number statistics of a driven thermal oscillator
- Physics
- 2007
We demonstrate theoretically how photon-number statistics of a driven damped oscillator at finite temperature can be extracted by measuring the dephasing spectrum of a two-level system dispersively…
Full counting statistics of energy fluctuations in a driven quantum resonator
- Physics
- 2011
We consider the statistics of time-integrated energy fluctuations of a driven bosonic single-mode resonator, as measured by a quantum nondemolition (QND) detector, using the standard Keldysh…
Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
- Physics
- 2004
We propose a realizable architecture using one-dimensional transmission line resonators to reach the strong-coupling limit of cavity quantum electrodynamics in superconducting electrical circuits.…
Relaxation of a qubit measured by a driven Duffing oscillator
- Physics
- 2010
We investigate the relaxation of a superconducting qubit for the case when its detector, the Josephson bifurcation amplifier, remains latched in one of its two (meta)stable states of forced…
Introduction to quantum noise, measurement, and amplification
- Physics
- 2010
The topic of quantum noise has become extremely timely due to the rise of quantum information physics and the resulting interchange of ideas between the condensed matter and atomic, molecular,…
Continuous weak measurement of quantum coherent oscillations
- Physics
- 2001
We consider the problem of continuous quantum measurement of coherent oscillations between two quantum states of an individual two-state system. It is shown that the interplay between the information…