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arXiv · 2606.08579

Another Legacy of Andrzej Kossakowski: A Self-Contained Derivation of the GKLS Equation

Gen Kimura
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Abstract

This note is written for the special issue of OSID dedicated to the 50th anniversary of the Gorini--Kossakowski--Lindblad--Sudarshan equation. Its purpose is not to give a comprehensive historical review, but rather to reconstruct, in a self-contained way, one logical route leading to the GKLS generator. The emphasis is placed on Kossakowski's structural insight: the combination of Markovianity, complete positivity, trace preservation, and the infinitesimal structure of quantum dynamical semigroups naturally leads to the celebrated form of the generator. I also include a few personal recollections of Andrzej Kossakowski, under whose guidance I spent one year as a postdoctoral researcher in 2003--2004.

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Gen Kimura. 2026-08-18. Another Legacy of Andrzej Kossakowski: A Self-Contained Derivation of the GKLS Equation. https://arxiv.org/abs/2606.08579

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