Z Shaterzadeh-Yazdi et al 2008 J. Phys. A: Math. Theor. 41 055309 doi:10.1088/1751-8113/41/5/055309
SU(1,1) symmetry of multimode squeezed states
Z Shaterzadeh-Yazdi, P S Turner and B C Sanders
Show affiliationsWe 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.
- PACS
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42.50.Dv Quantum state engineering and measurements
03.67.Mn Entanglement measures, witnesses, and other characterizations
- MSC
- Subjects
- Dates
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Issue 5 (8 February 2008)
Received 19 October 2007, in final form 29 November 2007
Published 23 January 2008
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SU(1,1) symmetry of multimode squeezed states
Z Shaterzadeh-Yazdi et al 2008 J. Phys. A: Math. Theor. 41 055309
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