# Simulating arbitrary Gaussian circuits with linear optics

@article{Chakhmakhchyan2018SimulatingAG, title={Simulating arbitrary Gaussian circuits with linear optics}, author={Levon Chakhmakhchyan and Nicolas J. Cerf}, journal={Physical Review A}, year={2018} }

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…

## One Citation

### Two-boson quantum interference in time

- PhysicsProceedings of the National Academy of Sciences
- 2020

An unsuspected quantum interference mechanism is uncovered, which originates from the indistinguishability of identical bosons in time and is generic to any bosonic Bogoliubov transformation, so it is expected that wide implications in quantum physics are anticipated.

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