Control of quantum noise: on the role of dilations
Mathematical Physics
2023-01-18 v2 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2010.00279,
title = {Control of quantum noise: on the role of dilations},
author = {Daniel Burgarth and Paolo Facchi and Robin Hillier},
journal= {arXiv preprint arXiv:2010.00279},
year = {2023}
}
Comments
18p, to appear in Ann. H. Poincar\'e