Optimal measurement-based feedback control for a single qubit: a candidate protocol

@article{Balouchi2014OptimalMF,
  title={Optimal measurement-based feedback control for a single qubit: a candidate protocol},
  author={Ashkan Balouchi and Kurt Jacobs},
  journal={New Journal of Physics},
  year={2014},
  volume={16}
}
Feedback control of quantum systems via continuous measurement involves complex nonlinear dynamics. Except in very special cases, even for a single qubit optimal feedback protocols are unknown. Intuitive candidates do not even exist for choosing the measurement basis, which is the primary non-trivial ingredient in the feedback control of a qubit. Here we present a series of arguments that suggest a particular form for the optimal protocol for a broad class of noise sources in the regime of good… 
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References

SHOWING 1-10 OF 47 REFERENCES

Simple quantum feedback of a solid-state qubit

We propose an experiment on quantum feedback control of a solid-state qubit, which is within the reach of the present-day technology. Similar to an earlier proposal [R. Ruskov and A. N. Korotkov,…

Experimental feedback control of quantum systems using weak measurements.

This work experimentally explores the use of weak measurements in feedback control and finds that, despite the intrinsic difficultly of implementing them, weak measurements allow us to control the qubit better in practice than is even theoretically possible without them.

The equations of quantum feedback control in the regime of good control

We derive the equations of motion describing the feedback control of quantum systemsin the regime of "good control", in which the control is sufficient to keep the systemclose to the desired state.…

Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback

This work demonstrates quantum feedback control by inhibiting the decay of Rabi oscillations, allowing them to persist indefinitely and permits the active suppression of decoherence and enables a method of quantum error correction based on weak continuous measurements.

Optimal rotation control for a qubit subject to continuous measurement

This article analyzes the optimal control strategy for rotating a monitored qubit from an initial pure state to an orthogonal state in minimum time and proves their existence and uniqueness in this weak-solution setting.

Quantum coherence control of solid-state charge qubit by means of a suboptimal feedback algorithm

The quantum coherence control of a solid-state charge qubit is studied by using a suboptimal continuous feedback algorithm within the Bayesian feedback scheme. For the coherent Rabi oscillation, the…

Real-time quantum feedback prepares and stabilizes photon number states

The experiment demonstrates that active control can generate non-classical states of this oscillator and combat their decoherence, and is a significant step towards the implementation of complex quantum information operations.

Stabilizing Feedback Controls for Quantum Systems

The properties of controlled quantum filtering equations as classical stochastic differential equations are studied and methods for global feedback stabilization of a class of quantum filters around a particular eigenstate of the measurement operator are developed.

Bayesian feedback versus Markovian feedback in a two-level atom

We compare two different approaches to the control of the dynamics of a continuously monitored open quantum system. The first is Markovian feedback, as introduced in quantum optics by Wiseman and…

Rapid purification of quantum systems by measuring in a feedback-controlled unbiased basis

This work rigorously rederive the lower bound (2/3)(D+1) on the achievable speedup factor and also an upper bound, namely D{sup 2}/2, for all feedback protocols that use measurements in unbiased bases for rapid purification by feedback.