Surprising Interactions of Markovian noise and Coherent Driving
Abstract
We derive the explicit commutation relations for the generators of quantum dynamical semigroup - Markovian superoperator evolution, allowing the extension of Baker-Campbell-Hausdorff-type relations to general Lindblad-type evolutions. This provides a novel tool for exploring the interaction of time-dependent coherent and Markovian evolutions - a surprisingly rich set of behaviors which include deformation by coherent driving of Markovian terms, generation of new Lindblad terms from time-dependent noise and even a coherent driving term generated by the interaction of time-separated Markovian noises. Finally, we consider the Lindblad superoperators as vectors in a higher space, allowing us to extract the infinitely divisible subspace of a given channel and to recover its Lindblad form.
Keywords
Cite
@article{arxiv.1408.3056,
title = {Surprising Interactions of Markovian noise and Coherent Driving},
author = {Shai Machnes and Martin B. Plenio},
journal= {arXiv preprint arXiv:1408.3056},
year = {2014}
}