Simulating arbitrary Gaussian circuits with linear optics

  title={Simulating arbitrary Gaussian circuits with linear optics},
  author={Levon Chakhmakhchyan and Nicolas J. Cerf},
  journal={Physical Review A},
Linear canonical transformations of bosonic modes correspond to Gaussian unitaries, which comprise passive linear-optical transformations as effected by a multiport passive interferometer and active Bogoliubov transformations as effected by a nonlinear amplification medium. As a consequence of the Bloch-Messiah theorem, any Gaussian unitary can be decomposed into a passive interferometer followed by a layer of single-mode squeezers and another passive interferometer. Here, it is shown how to… 

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