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Simulating quantum states on a classical computer is hard, typicallyrequiring prohibitive resources in terms of memory and computational power.Efficient simulation, however, can be achieved for certain classes of quantumstates, in particular the so-called Gaussian quantum states of continuousvariable systems. In this work we introduce QuGIT - a python numerical toolboxbased on symplectic methods specialized in efficiently simulating multimodeGaussian states and operations. QuGIT is exact, requiring no truncation ofHilbert space, and provides a wide range of Gaussian operations on arbitraryGaussian states, including unitaries, partial traces, tensor products,general-dyne measurements, conditional and unconditional dynamics. Toillustrate the toolbox, several examples of usage relevant to quantum opticsand optomechanics are described.

QuGIT: a numerical toolbox for Gaussian quantum states