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Recently, a Hamiltonian dynamics simulation was performed on a kickedferromagnetic 2D transverse field Ising model with a connectivity graph nativeto the 127 qubit heavy-hex IBM Quantum architecture using ZNE quantum errormitigation. We demonstrate that one of the observables in this TrotterizedHamiltonian dynamics simulation, namely magnetization, can be efficientlysimulated on current superconducting qubit-based programmable quantum annealingcomputers. We show this using two distinct methods: reverse quantum annealingand h-gain state encoding. This simulation is possible because the 127 qubitheavy-hex connectivity graph can be natively embedded onto the D-Wave Pegasusquantum annealer hardware graph and because there exists a direct equivalencebetween the energy scales of the two types of quantum computers. We deriveequivalent anneal pauses in order to simulate the Trotterized quantum circuitdynamics for varying Rx rotations $\theta_h \in (0, \frac{\pi}{2}]$, usingquantum annealing processors. Multiple disjoint instances of the Ising model ofinterest can be embedded onto the D-Wave Pegasus hardware graph, allowing forparallel quantum annealing. We report equivalent magnetization dynamics usingquantum annealing for time steps of 20, 50 up to 10,000, which we find areconsistent with exact classical 27 qubit heavy-hex Trotterized circuitmagnetization dynamics, and we observe reasonable, albeit noisy, agreement withthe existing simulations for single site magnetization at 20 Trotter steps. Thequantum annealers are able to simulate equivalent magnetization dynamics forthousands of time steps, significantly out of the computational reach of thedigital quantum computers on which the original Hamiltonian dynamicssimulations were performed.

Simulating Heavy-Hex Transverse Field Ising Model Magnetization Dynamics Using Programmable Quantum Annealers