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quant-ph2026
Fifty Years of the GKLS Master Equation: Foundations and Early Developments
Fabio Benatti, Dariusz Chruściński, Saverio Pascazio
The year 2026 marks the fiftieth anniversary of the two seminal papers in which Gorini, Kossakowski, and Sudarshan, and independently Lindblad, characterized the generators of comp…
quant-ph2026
Open quantum dynamics without Complete Positivity: a criticism
Fabio Benatti, Dariusz Chruściński, Saverio Pascazio
The requirement of complete positivity is very often regarded as a fundamental consistency condition for the description of open quantum dynamics. We critically examine this requir…
quant-ph2026
Interpolating between positive, Schwarz, and completely positive evolution for d-level systems
Dariusz Chruściński, Farrukh Mukhamedov
We study a class of quantum dynamical maps for d-level systems that interpolate between positive, Schwarz, and completely positive evolutions. Our approach is based on a geometric…