Control of quantum noise: on the role of dilations

Burgarth, Daniel and Facchi, Paolo and Hillier, Robin (2022) Control of quantum noise: on the role of dilations. Annales Henri Poincaré. 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:
ID Code:
174463
Deposited By:
Deposited On:
11 Aug 2022 14:40
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Aug 2022 15:40