Abstract

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 subsystem U(1) entanglement asymmetry and subsystem coherence in random quantum automata, both global and 2-local. The system consists of L qubits initialized in different initial states, namely: (A) a product state of the form | ψ0⟩ = (cos ϑ | 0⟩ + sin ϑ | 1⟩)⊗N where is ϑ some rotation angle. We have produced data for ϑ and different values of L. (B) states with non-zero initial entanglement such as the Dicke-states. In both cases, the averaged subsystem asymmetry and coherence of states are computed: while for the global random quantum automata these are computed analytically, for the 2-local circuit setting the corresponding differential equation is solved numerically.