The task of the student is to explore the properties of quantum states generated by random quantum circuits from the perspective of quantum metrology and quantum resources. Random quantum circuits with U(1) symmetry generate states, which form a subset of Haar-random states. For Z =0, they are expected to have a large entanglement entropy, and so-called magic (quantified through the so-called stabilizer Rényi entropy), and are expected to be similar to the so-called Dicke states. These latter, being analogs of squeezed states and Cat states, enable very precise measurements. The student should explore the metrological usefulness of these states numerically and analytically, and realize them on existing quantum platforms such as IBM quantum computers, quantum simulators (D-wave), and QuEra.