Three-mode squeezing: SU(1,1) symmetry

Zahra Shaterzadeh Yazdi; Peter S. Turner; Barry C. Sanders

doi:10.1117/12.724380

7 June 2007 Three-mode squeezing: SU(1,1) symmetry

Zahra Shaterzadeh Yazdi, Peter S. Turner, Barry C. Sanders

Proceedings Volume 6603, Noise and Fluctuations in Photonics, Quantum Optics, and Communications; 660317 (2007) https://doi.org/10.1117/12.724380
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

Abstract

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.

Citation Download Citation

Zahra Shaterzadeh Yazdi, Peter S. Turner, and Barry C. Sanders "Three-mode squeezing: SU(1,1) symmetry", Proc. SPIE 6603, Noise and Fluctuations in Photonics, Quantum Optics, and Communications, 660317 (7 June 2007); https://doi.org/10.1117/12.724380

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