Control of quantum noise: on the role of dilations

Burgarth, Daniel and Facchi, Paolo and Hillier, Robin (2023) Control of quantum noise: on the role of dilations. Annales Henri Poincaré, 24 (1). pp. 325-347. ISSN 1424-0637

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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’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.

Item Type:

Journal Article

Journal or Publication Title:

Annales Henri Poincaré

Additional Information:

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

Uncontrolled Keywords:

Data Sharing Template/yes

Subjects:

?? yesmathematical physicsstatistical and nonlinear physicsnuclear and high energy physics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

174463

Deposited By:

ep_importer_pure

Deposited On:

11 Aug 2022 14:40

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Oct 2024 23:23

URI:

https://eprints.lancs.ac.uk/id/eprint/174463