Fig. 3

Comparison of simulation results from real quantum hardware and CNOT gate count for the TFIM and XY model using the constant-depth circuits versus growing depth circuits generated from standard Trotter decomposition. The top row shows simulation results for a TFIM with 3- (a), 4- (b), and 5-qubits (c). A noise-free simulator provides the ground truth, shown in blue, with which to compare results from the constant-depth circuits (red) and growing depth circuits (green). The bottom row shows the analogous simulation results for the XY model with 3- (e), 4- (f), and 5-qubits (g). d and h show the number of CNOT gates in the constant-depth (red) and growing depth (green) circuits for each time-step for 3- (dotted line), 4- (dashed line), and 5-qubit (solid line) systems for the TFIM and XY models, respectively