Surprising Interactions of Markovian noise and Coherent Driving

2014/08/13 by Shai Machnes, Martin B. Plenio, Machnes, Shai +1 · 3 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1408.3056

openalex publication_date 2014/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Conductivity measurements in JCH like models
• Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems
• Probing Hilbert space fragmentation using controlled dephasing

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