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  • DecouplingDilation220411-AHP3

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Control of quantum noise: on the role of dilations

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Control of quantum noise: on the role of dilations. / Burgarth, Daniel; Facchi, Paolo; Hillier, Robin.
In: Annales Henri Poincaré, Vol. 24, No. 1, 31.01.2023, p. 325-347.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Burgarth, D, Facchi, P & Hillier, R 2023, 'Control of quantum noise: on the role of dilations', Annales Henri Poincaré, vol. 24, no. 1, pp. 325-347. https://doi.org/10.1007/s00023-022-01211-y

APA

Burgarth, D., Facchi, P., & Hillier, R. (2023). Control of quantum noise: on the role of dilations. Annales Henri Poincaré, 24(1), 325-347. https://doi.org/10.1007/s00023-022-01211-y

Vancouver

Burgarth D, Facchi P, Hillier R. Control of quantum noise: on the role of dilations. Annales Henri Poincaré. 2023 Jan 31;24(1):325-347. Epub 2022 Jul 24. doi: 10.1007/s00023-022-01211-y

Author

Burgarth, Daniel ; Facchi, Paolo ; Hillier, Robin. / Control of quantum noise: on the role of dilations. In: Annales Henri Poincaré. 2023 ; Vol. 24, No. 1. pp. 325-347.

Bibtex

@article{d44af70ffe0046f988e9c35f8e6ff711,
title = "Control of quantum noise: on the role of dilations",
abstract = "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 always an autonomous unitary dilation which cannot be dynamically decoupled, this highlights the role of dilations in the control of quantum noise. We construct our dilation via a time-dependent version of Stinespring in combination with Howland{\textquoteright}s clock Hamiltonian and certain point-localised states, which may be regarded as a C*-algebraic analogue of improper bra-ket position eigenstates and which are hence of independent mathematical and physical interest.",
author = "Daniel Burgarth and Paolo Facchi and Robin Hillier",
note = "The final publication is available at Springer via http://dx.doi.org/10.1007/s00023-022-01211-y",
year = "2023",
month = jan,
day = "31",
doi = "10.1007/s00023-022-01211-y",
language = "English",
volume = "24",
pages = "325--347",
journal = "Annales Henri Poincar{\'e}",
issn = "1424-0637",
publisher = "Birkhauser Verlag Basel",
number = "1",

}

RIS

TY - JOUR

T1 - Control of quantum noise: on the role of dilations

AU - Burgarth, Daniel

AU - Facchi, Paolo

AU - Hillier, Robin

N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/s00023-022-01211-y

PY - 2023/1/31

Y1 - 2023/1/31

N2 - 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 always an autonomous unitary dilation which cannot be dynamically decoupled, this highlights the role of dilations in the control of quantum noise. We construct our dilation via a time-dependent version of Stinespring in combination with Howland’s clock Hamiltonian and certain point-localised states, which may be regarded as a C*-algebraic analogue of improper bra-ket position eigenstates and which are hence of independent mathematical and physical interest.

AB - 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 always an autonomous unitary dilation which cannot be dynamically decoupled, this highlights the role of dilations in the control of quantum noise. We construct our dilation via a time-dependent version of Stinespring in combination with Howland’s clock Hamiltonian and certain point-localised states, which may be regarded as a C*-algebraic analogue of improper bra-ket position eigenstates and which are hence of independent mathematical and physical interest.

U2 - 10.1007/s00023-022-01211-y

DO - 10.1007/s00023-022-01211-y

M3 - Journal article

VL - 24

SP - 325

EP - 347

JO - Annales Henri Poincaré

JF - Annales Henri Poincaré

SN - 1424-0637

IS - 1

ER -