The student shall explore magic and magic generation in dissipative quantum circuits as well as their statistical properties and correlations with Neumann entropy in detail, both in the absence and in the presence of dissipation. Numerical simulations will be performed using exact diagonalization and efficient Matrix Product State-based methods, developed for open quantum circuits. In particular, we shall explore U(1) symmetry-preserving and symmetry-breaking dissipators, and the role of the conserved U(1) charges. This research shall be financed completely or in part by the Advanced NKFIH grant "Design and application of advanced techniques for quantum metrology, simulation, and optimization".