  We introduce an open-source solver for the Lindblad master equation, based on
matrix product states and matrix product operators. Using this solver we study
the dynamics of tens of interacting qubits with different connectivities,
focusing on a problem where an edge qubit is being continuously driven on
resonance, which is a fundamental operation in quantum devices. Because of the
driving, induced excitations propagate through the qubits until the system
reaches a steady state due to the incoherent terms. We find that with
alternating-frequency qubits whose interactions with their off-resonant
neighbors appear weak, the tunneling excitations lead to large correlations
between distant qubits in the system. Some two-qubit correlation functions are
found to increase as a function of distance in the system (in contrast to the
typical decay with distance), peaking on the two edge qubits farthest apart
from each other.
