Three-mode squeezing: SU(1,1) symmetry
Zahra Shaterzadeh Yazdi, Peter S. Turner, Barry C. Sanders · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2007
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.