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arXiv · 1408.3056

Surprising Interactions of Markovian noise and Coherent Driving

Shai Machnes·Martin B. Plenio
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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.

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Shai Machnes, Martin B. Plenio. 2014-08-13. Surprising Interactions of Markovian noise and Coherent Driving. https://arxiv.org/abs/1408.3056

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