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

Burgarth, Daniel; Facchi, Paolo; Fraas, Martin; Hillier, Robin

doi:10.21468/SciPostPhys.11.2.027

SciPost Physics

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

Daniel Burgarth, Paolo Facchi, Martin Fraas, Robin Hillier

SciPost Phys. 11, 027 (2021) · published 10 August 2021

doi: 10.21468/SciPostPhys.11.2.027
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Abstract

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 to achieve good decoupling? By providing an explicit counterexample of a qubit coupled to a charged particle and magnetic monopole, we show that such time-scales cannot be decided by the decay profile induced by the noise: even though the system shows a quadratic decay (a Zeno region revealing non-Markovian noise), it cannot be decoupled by periodic spin echo pulses, no matter how fast the rotations.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.2.027
TI  - Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses
PY  - 2021/08/10
UR  - https://www.scipost.org/SciPostPhys.11.2.027
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 2
SP  - 027
A1  - Burgarth, Daniel
AU  - Facchi, Paolo
AU  - Fraas, Martin
AU  - Hillier, Robin
AB  - 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 to achieve good decoupling? By providing an explicit counterexample of a qubit coupled to a charged particle and magnetic monopole, we show that such time-scales cannot be decided by the decay profile induced by the noise: even though the system shows a quadratic decay (a Zeno region revealing non-Markovian noise), it cannot be decoupled by periodic spin echo pulses, no matter how fast the rotations.
ER  -

@Article{10.21468/SciPostPhys.11.2.027,
	title={{Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses}},
	author={Daniel Burgarth and Paolo Facchi and Martin Fraas and Robin Hillier},
	journal={SciPost Phys.},
	volume={11},
	pages={027},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.2.027},
	url={https://scipost.org/10.21468/SciPostPhys.11.2.027},
}

Cited by 6

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Daniel Burgarth,
² ³ Paolo Facchi,
⁴ Martin Fraas,
⁵ Robin Hillier

Funders for the research work leading to this publication

Australian Research Council [ARC]
European Commission [EC]
Instituto Nazionale di Fisica Nucleare (INFN) (through Organization: Istituto Nazionale di Fisica Nucleare / National Institute for Nuclear Physics [INFN])