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In pulsesim, I wrote a manager for the composite Hilbert spaces as a wrapper on top of qutip.mesolve experiments. This is designed to handle indexing of the tensors of operators together as well as constructing the bare non-interacting terms of the system. This worked nicely for replicating experiments for Q-C-Q and Q-S-Q.
Moving forward, we are going to use
scqubit
instead, because the mistake in my code was that it was not properly handling the dressed modes, or diagonalizing the Hamiltonian.