Techniques are provided for improving quantum computing devices. The technology can facilitate generating a sequence of sparse matrices representing a quantum computing device and a noise model. A system can comprise a memory that can store computer executable components and a processor that can execute the computer executable components stored in the memory. The computer executable components can include a term identifier that can identify a plurality of time-dependent terms in a machine-parseable representation of a quantum computing device. The computer executable components can further include a sparse matrix generator that can generate a first sparse matrix for ones of the plurality of time-dependent terms, resulting in a plurality of first sparse matrices.