QUANTHEM. Data for the time evolution of Rényi-2 entropy in random permutation circuits. Version 1.

The dataset contains data generated in the framework of Horizon Europe ERC QUANTHEM project. The data were the result of analytical and numerical computations of time evolution and long-time stationary values of the Rényi-2 entropy in random permutation circuits. The data corresponds to numerically computed results describing the discrete time evolution of the Rényi-2 entropy under random permutation (RP) circuit dynamics and under circuit dynamics with random permutation gates with additional random phases (RPP). The system consists of N qubits initialized in different initial states, namely: (A) a product state of the form | ψ0⟩ = (cos ϑ | 0⟩ + sin ϑ | 1⟩)⊗N where is some rotation angle. We have produced data for ϑ π and different values of N. (B) typical (random) product states, (C) states with non-zero initial entanglement such as the Dicke-states