Entangled Structures in Classical
and Quantum Optics
Antonio Zelaquett Khoury
Fluminense Federal University
Leader of the Quantum Optics group at the Fluminense Federal University, with research in quantum noise in optical systems, parametric down conversion and twin photon generation, pattern formation, and optical vortices.
Lecture I: In this lecture we introduce the paraxial wave equation that
describes the propagation of collimated optical beams and the corresponding solutions in terms of orthonormal mode functions of the beam transverse coordinates. When combined with polarization, they give rise to a tensor product vector space of spin-orbit modes where non-separable (entangled) structures can be recognized as the well-known vector beams.
Lecture II: Quite surprisingly, these entangled structures can be used to
simulate some quantum information protocols. Moreover, the spin-orbit
mode entanglement can be evidenced by quantum-like inequalities. We will present experimental investigations on both aspects of this classical-quantum connection in optics.
Lecture III: In this last lecture we present the quantized vector beams and
discuss the interplay between quantum and classical entanglement in the
quantized field framework. Coherent and Fock states provide elementary
examples illustrating the subtle connections between mode separability and quantum entanglement.