• Corpus ID: 248496903

Stability and convergence of dynamical decoupling with finite amplitude control

@inproceedings{Burgarth2022StabilityAC,
  title={Stability and convergence of dynamical decoupling with finite amplitude control},
  author={Daniel Burgarth and Paolo Facchi and Robin Hillier},
  year={2022}
}
. Dynamical decoupling is a key method to mitigate errors in a quantum mechanical system, and we studied it in a series of papers dealing in particular with the problems arising from unbounded Hamiltonians. The standard bangbang model of dynamical decoupling, which we also used in those papers, requires decoupling operations with infinite amplitude, which is strictly speaking unrealistic from a physical point of view. In this paper we look at decoupling operations of finite amplitude, discuss… 

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References

SHOWING 1-10 OF 16 REFERENCES

Robust dynamical decoupling of quantum systems with bounded controls.

TLDR
Eulerian decoupling schemes offer two important advantages over their impulsive counterparts: they are able to enforce the same dynamical symmetrization but with more realistic control resources and they are intrinsically tolerant against a large class of systematic implementation errors.

Dynamical decoupling of unbounded Hamiltonians

We investigate the possibility to suppress interactions between a finite dimensional system and an infinite dimensional environment through a fast sequence of unitary kicks on the finite dimensional

Generalized Adiabatic Theorem and Strong-Coupling Limits

We generalize Kato's adiabatic theorem to nonunitary dynamics with an isospectral generator. This enables us to unify two strong-coupling limits: one driven by fast oscillations under a Hamiltonian,

Control of quantum noise: on the role of dilations

We show that every finite-dimensional quantum system with Markovian (i.e. GKLS-generated) time evolution has an autonomous unitary dilation which can be dynamically decoupled. Since there is also

Dynamical Decoupling of Open Quantum Systems

We propose a novel dynamical method for beating decoherence and dissipation in open quantum systems. We demonstrate the possibility of filtering out the effects of unwanted (not necessarily known)

Kick and Fix: The Roots of Quantum Control

When two operators A and B do not commute, the calculation of the exponential operator e A + B is a difficult and crucial problem. The applications are vast and diversified: to name but a few

Unification of dynamical decoupling and the quantum Zeno effect (6 pages)

Chemical Physics Theory Group, Chemistry Department, University of Toronto,80 St. George Street, Toronto, Ontario M5S 3H6, Canada(Dated: February 1, 2008)We unify the quantum Zeno effect (QZE) and the

Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses

Dynamical decoupling is the leading technique to remove unwanted interactions in a vast range of quantum systems through fast rotations. But what determines the time-scale of such rotations in order

Boundaries without boundaries

DYNAMICAL SUPPRESSION OF DECOHERENCE IN TWO-STATE QUANTUM SYSTEMS

The dynamics of a decohering two-level system driven by a suitable control Hamiltonian is studied. The control procedure is implemented as a sequence of radio-frequency pulses that repetitively flip