Three-mode (tripartite) squeezed light is important for continuous variable quantum information tasks such
as quantum teleportation, state sharing, and generating tripartite continuous variable entangled states, and
furthermore is the first nontrivial step towards multipartite squeezed states. In such cases just one two-mode
squeezer is used, and the squeezed light is distributed across multiple channels by passive optical elements.
Here we show that these three-mode squeezed states are produced by optical networks that can be described as
SU(1, 1) transformations, which enables relatively straightforward and elegant calculations of any output state
from such squeezing networks for any input state.
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