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

arXiv
Authors: Gen Kimura

Year

2026

Paper ID

68958

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

0

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • This note is written for the special issue of OSID dedicated to the 50th anniversary of the Gorini--Kossakowski--Lindblad--Sudarshan equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2606.08579 [2] arXiv https://arxiv.org/abs/2606.08579 [3] Publisher https://arxiv.org/abs/2606.08579

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External citation index: OpenAlex citation signal • updated 2026-06-14 01:57:04

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