Computer systems and methods are provided for increasing a rate of simulation for quantum computing devices. A quantum computing device includes a plurality of gates, each of which is coupled to one or more modes. In the provided computer systems and methods, a device definition and state information for the quantum computing device are received. The state information includes a plurality of input patterns, each of which indicates a number of input bosons that correspond to a respective mode of the quantum computing device, and an amplitude that corresponds to each input pattern. The device definition includes a plurality of sets of gate values that indicate modification by a respective gate of an input pattern probability. A first group of input patterns is generated for a first gate. The first group of input patterns includes a subset of the plurality of input patterns that meet grouping criteria.