SU(1,1) symmetry of multimode squeezed states

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

Research output: Contribution to journalArticle (Academic Journal)peer-review

15 Citations (Scopus)


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.
Original languageEnglish
JournalJournal of Physics A: Mathematical and Theoretical
Publication statusPublished - 2008


  • quant-ph

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