10 papers
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…
Diagonal Unitary Covariant Superchannels
Dariusz Chruściński, Vivek Pandey, Sohail
We present a complete characterization of diagonal unitary covariant (DU-covariant) superchannels, i.e. higher-order transformations transforming quantum channels into themselves.…
Practical and Efficient Verification of Entanglement with Incomplete Measurement Settings
Jiheon Seong, Jin-Woo Kim, Seungchan Seo +6
In this work, we present a practical and efficient framework for verifying entangled states when only a tomographically incomplete measurement setting is available-specifically, wh…
Stochastic unravelings for Heisenberg picture and trace-nonpreserving dynamics
Federico Settimo, Kimmo Luoma, Dariusz Chruściński +3
Stochastic unravelings allow to efficiently simulate open system dynamics, yet their application has traditionally been restricted to master equations that preserve both Hermiticit…
Universal bound on the Lyapunov spectrum of quantum master equations
Paolo Muratore-Ginanneschi, Gen Kimura, Frederik vom Ende +1
The spectral properties of positive maps are pivotal for understanding the dynamics of quantum systems interacting with their environment. Furthermore, central problems in quantum…
Asymptotic relaxation in quantum Markovian dynamics
Giovanni Di Meglio, Dariusz Chruściński, Koenraad Audenaert +2
We investigate the long-time behavior of quantum Markovian dynamics generated by time-dependent Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) master equations. We introduce a notion…