====== Quantum Optics for Quantum Information ======
This research is led by Profs. [[people:zelaquett|Antonio Zelaquett Khoury]], [[people:kaled|Kaled Dechoum]], [[http://www.if.uff.br/en/contact/faculty/48-professores-do-departamento/185-carlos-eduardo-rodrigues-de-souza|Carlos Eduardo Rodrigues de Souza]] and [[people:tasca|Daniel Schneider Tasca]].
===== Quantum and classical correlations in optical parametric amplifiers (OPO's) =====
{{ opo.png?200}}
   * Study of bipartite, tripartite and multimode correlations among transverse modes.
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Recent papers:\\
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Semiclassical Wigner distribution for a two-mode entangled state generated by an OPO. Dechoum, Hahn, Vallejos, Khoury; //Phys. Rev. A// **81**, 043834 (2010)
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Entanglement criteria and classical correlations in parametric amplifiers. da Silva, Khoury, Dechoum; //Phys. Rev. A// **78**, 025803 (2008).


===== Manipulating different degrees of freedom for quantum information =====
{{  transverse.png?170}}
   * Entanglement between polarization and orbital angular momentum

   * Hyperentanglement between these degrees of freedom in the OPO

Recent papers:\\

A Michelson controlled-not gate with a single-lens astigmatic mode converter. Souza, Khoury,  //Optics Express// **18**, 9207 (2010).
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Continuous-Variable Hyperentanglement in a Parametric Oscillator with Orbital Angular Momentum. dos Santos, Dechoum, Khoury; //Phys. Rev. Lett.// **103**, 230503 (2009).    

===== Geometrical phases in quantum systems =====
   * Dynamics of OPO spatial modes with injection of angular momentum. 

   * Topological phases.

Recent papers:\\
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Phase conjugation and adiabatic mode conversion in a driven OPO with orbital angular momentum. Coutinho dos Santos, Souza, Dechoum, Khoury; //Phys. Rev. A// **76**, 053821 (2007).
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Fractional topological phase for entangled qudits. Oxman, Khoury, preprint [[http://arxiv.org/abs/1010.2094|arxiv:1010.2094]], Phys. Rev. Lett. **106**, 240503 (2011).