title: Completely positive approximate solutions of driven open quantum systems.
abstract: We define a perturbative approximation for the solution of Lindblad master equations with time-dependent generators that satisfies the fundamental property of complete positivity, as essential for quantum simulations and optimal control. With explicit examples we show that ensuring this property substantially improves the accuracy of the perturbative approximation.
authors.affiliation: Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität, Albertstraße 19, 79104 Freiburg, Germany, Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Farhang
authors.initials: F
authors.lastname: Haddadfarshi
authors.affiliation: Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität, Albertstraße 19, 79104 Freiburg, Germany, Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Jian
authors.initials: J
authors.lastname: Cui
authors.affiliation: Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität, Albertstraße 19, 79104 Freiburg, Germany, Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Florian
authors.initials: F
authors.lastname: Mintert