Fig. 2: Device setup, circuit, and phase-dependent energy split.

a The 7-qubit Tree sub-lattice used in our experiment. Our chip is a 3D chip, in which the Purcell filter, readout resonators, and flux and control lines are placed on a layer different from the couplers and transmon qubits. b The circuit considered in our experiment is composed of a first layer of single-qubit gates, emulating local fields, followed by interaction blocks to mimic the spin-spin interaction during the evolution. As stated by Theorem 1, given the minimum energy gap \({\Delta }_{\min }\), high-fidelity digitization is achieved when \(M\propto 1/{\Delta }_{\min }^{2}\). For the dynamics under consideration, we used M = 5 for all the simulations. In (c), we sketch the influence of symmetry on the dynamics, where the transition into FM and AFM quantum phases occurs in different magnetization planes. d The experimental data for the energy splitting along the digitized evolution of the system from the initial to the final state. Time is encoded in the number of blocks of the digitized circuit (n = 0 and n = 5 refers to t = 0 and t = τ, respectively), for Jτ = 5.