  Engineered dissipative reservoirs have the potential to steer many-body
quantum systems toward correlated steady states useful for quantum simulation
of high-temperature superconductivity or quantum magnetism. Using up to 49
superconducting qubits, we prepared low-energy states of the transverse-field
Ising model through coupling to dissipative auxiliary qubits. In one dimension,
we observed long-range quantum correlations and a ground-state fidelity of 0.86
for 18 qubits at the critical point. In two dimensions, we found mutual
information that extends beyond nearest neighbors. Lastly, by coupling the
system to auxiliaries emulating reservoirs with different chemical potentials,
we explored transport in the quantum Heisenberg model. Our results establish
engineered dissipation as a scalable alternative to unitary evolution for
preparing entangled many-body states on noisy quantum processors.
