5 papers · 1 filter
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…
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…
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…
Tomiyama-type maps with a diagonal perturbation
Anindita Bera, Bihalan Bhattacharya, Dariusz Chruściński
We investigate a two-parameter family of linear maps on matrix algebras, constructed as diagonal perturbations of classical Tomiyama maps. Employing the Choi matrix method alongsid…
Constructing -Kadison-Schwarz maps
Farrukh Mukhamedov, Dariusz Chruściński
We study k Kadison Schwarz (k KS) mappings on matrix algebras and derive explicit conditions ensuring the k KS property for two classes of maps parameterized by a single k-positive…