SU(1,1) symmetry of multimode squeezed states

Details SU(1,1) symmetry of multimode squeezed states SU(1,1) symmetry of multimode squeezed states

2007-10-17

arxiv.org/abs/0710.3205v2

J. Phys. A: Math. Theor. 41 (2008) 055309 (11pp)

Physics

Quantum Physics

Scientific paper

10.1088/1751-8113/41/5/055309

We show that a class of multimode optical transformations that employ linear optics plus two-mode squeezing can be expressed as SU(1,1) operators. These operations are relevant to state-of-the-art continuous variable quantum information experiments including quantum state sharing, quantum teleportation, and multipartite entangled states. Using this SU(1,1) description of these transformations, we obtain a new basis for such transformations that lies in a useful representation of this group and lies outside the often-used restriction to Gaussian states. We analyze this basis, show its application to a class of transformations, and discuss its extension to more general quantum optical networks.

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