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

Daniel Burgarth; Paolo Facchi; Martin Fraas; Robin Hillier

doi:10.21468/SCIPOSTPHYS.11.2.027

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

Daniel Burgarth^*, Paolo Facchi, Martin Fraas, Robin Hillier

^*Corresponding author for this work

ARC Centre of Excellence for Engineered Quantum Systems (EQuS)

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

47 Downloads (Pure)

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 timescale 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.

Original language	English
Article number	027
Pages (from-to)	1-15
Number of pages	15
Journal	SciPost Physics
Volume	11
Issue number	2
DOIs	https://doi.org/10.21468/SCIPOSTPHYS.11.2.027
Publication status	Published - Aug 2021

Bibliographical note

Copyright D. Burgarth et al. Published by the SciPost Foundation. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

Access to Document

10.21468/SCIPOSTPHYS.11.2.027Licence: CC BY

Publisher version (open access)Final published version, 354 KBLicence: CC BY

Cite this

@article{92471bc1119e449293dc9918158882e4,

title = "Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses",

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 timescale 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.",

author = "Daniel Burgarth and Paolo Facchi and Martin Fraas and Robin Hillier",

note = "Copyright D. Burgarth et al. Published by the SciPost Foundation. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher. ",

year = "2021",

month = aug,

doi = "10.21468/SCIPOSTPHYS.11.2.027",

language = "English",

volume = "11",

pages = "1--15",

journal = "SciPost Physics",

issn = "2542-4653",

publisher = "SciPost Foundation",

number = "2",

}

TY - JOUR

T1 - Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses

AU - Burgarth, Daniel

AU - Facchi, Paolo

AU - Fraas, Martin

AU - Hillier, Robin

N1 - Copyright D. Burgarth et al. Published by the SciPost Foundation. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

PY - 2021/8

Y1 - 2021/8

N2 - Dynamical decoupling is the leading technique to remove unwanted interactions in a vast range of quantum systems through fast rotations. But what determines the timescale 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.

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 timescale 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.

UR - http://www.scopus.com/inward/record.url?scp=85113349412&partnerID=8YFLogxK

U2 - 10.21468/SCIPOSTPHYS.11.2.027

DO - 10.21468/SCIPOSTPHYS.11.2.027

M3 - Article

AN - SCOPUS:85113349412

SN - 2542-4653

VL - 11

SP - 1

EP - 15

JO - SciPost Physics

JF - SciPost Physics

IS - 2

M1 - 027

ER -

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

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this