Theory of weak continuous measurements in a strongly driven quantum bit

@article{Smirnov2003TheoryOW,
  title={Theory of weak continuous measurements in a strongly driven quantum bit},
  author={A. Yu. Smirnov},
  journal={Physical Review B},
  year={2003},
  volume={68},
  pages={134514}
}
  • A. Smirnov
  • Published 2 June 2003
  • Physics
  • Physical Review B
Continuous spectroscopic measurements of a strongly driven superconducting qubit by means of a high-quality tank circuit (a linear detector) are under study. Output functions of the detector\char22{}namely, a spectrum of voltage fluctuations and an impedance\char22{}are expressed in terms of the qubit spectrum and magnetic susceptibility. The nonequilibrium spectrum of the current fluctuations in the qubit loop and the linear response function of the driven qubit coupled to a heat bath are… 
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References

SHOWING 1-10 OF 53 REFERENCES
Method for direct observation of coherent quantum oscillations in a superconducting phase qubit
Time-domain observations of coherent oscillations between quantum states in mesoscopic superconducting systems have so far been restricted to restoring the time-dependent probability distribution
Quantum-state engineering with Josephson-junction devices
Quantum-state engineering, i.e., active control over the coherent dynamics of suitable quantum-mechanical systems, has become a fascinating prospect of modern physics. With concepts developed in
Characterization of superconducting structures designed for qubit realizations
We implement the impedance measurement technique in order to characterize superconducting structures designed for applications in quantum computing. We report an experimental study of the circuit
Low-frequency characterization of quantum tunneling in flux qubits
We propose to investigate flux qubits by the impedance measurement technique (IMT), currently used to determine the current-phase relation in Josephson junctions. We analyze in detail the case of a
Coherent control of macroscopic quantum states in a single-Cooper-pair box
A nanometre-scale superconducting electrode connected to a reservoir via a Josephson junction constitutes an artificial two-level electronic system: a single-Cooper-pair box. The two levels consist
Continuous weak measurement of quantum coherent oscillations
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
Decoherence and Relaxation of a Quantum Bit in the Presence of Rabi Oscillations
The dissipative dynamics of a quantum bit driven by a strong resonant field and interacting with a heat bath is investigated. We derive generalized Bloch equations and find modifications of the
Superconducting persistent-current qubit
We present the design of a superconducting qubit that has circulating currents of opposite sign as its two states. The circuit consists of three nanoscale aluminum Josephson junctions connected in a
Quantum-efficient charge detection using a single-electron transistor
We evaluate the detector nonideality (and energy sensitivity) of a normal-state single-electron transistor in the cotunneling regime in a two-charge-state approximation. The (symmetrized)
Manipulating the Quantum State of an Electrical Circuit
TLDR
A superconducting tunnel junction circuit that behaves as a two-level atom that can be programmed with a series of microwave pulses and a projective measurement of the state can be performed by a pulsed readout subcircuit is designed and operated.
...
...