@article {Calvo2008,
title = {Manipulation of single-photon states encoded in transverse spatial modes: Possible and impossible tasks},
journal = {Physical Review A (Atomic, Molecular, and Optical Physics)},
volume = {77},
number = {1},
year = {2008},
month = {01/2008},
pages = {012302{\textendash}7},
abstract = {Controlled generation and manipulation of photon states encoded in their spatial degrees of freedom is a crucial ingredient in many quantum-information tasks exploiting higher-than-two dimensional encoding. Here, we prove the impossibility to arbitrarily modify d-level state superpositions (qudits) for d>2, encoded in the transverse modes of light, with optical components associated to the group of symplectic transforms (Gaussian operations). Surprisingly, we also provide an explicit construction of how non-Gaussian operations acting on mode subspaces do enable one to overcome the limit d=2. In addition, this set of operations realizes the full SU(3) algebra.},
keywords = {SU(3) theory},
doi = {10.1103/PhysRevA.77.012302},
url = {http://link.aps.org/doi/10.1103/PhysRevA.77.012302},
author = {Calvo, Gabriel F. and Picon, Antonio}
}
@article {Calvo2008a,
title = {Measuring the Complete Transverse Spatial Mode Spectrum of a Wave Field},
journal = {Physical Review Letters},
volume = {100},
number = {17},
year = {2008},
month = {05/2008},
pages = {173902{\textendash}4},
doi = {10.1103/PhysRevLett.100.173902},
url = {http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf\&id=PRLTAO000100000017173902000001\&idtype=cvips\&prog=normal},
author = {Calvo, Gabriel F. and Picon, Antonio and Zambrini, Roberta}
}
@article {Calvo2007a,
title = {Measuring two-photon orbital angular momentum entanglement},
journal = {Physical Review A (Atomic, Molecular, and Optical Physics)},
volume = {75},
number = {1},
year = {2007},
month = {01/2007},
pages = {012319{\textendash}8},
keywords = {orbital angular momentum, quantum entanglement, quantum optics},
doi = {10.1103/PhysRevA.75.012319},
url = {http://link.aps.org/abstract/PRA/v75/e012319},
author = {Calvo, Gabriel F. and Picon, Antonio and Bramon, Albert}
}
@article {Calvo2007,
title = {Spin-induced angular momentum switching},
journal = {Optics Letters},
volume = {32},
number = {7},
year = {2007},
month = {04/2007},
pages = {838{\textendash}840},
abstract = {When light is transmitted through optically inhomogeneous and anisotropic media the spatial distribution of light can be modified according to its input polarization state. A complete analysis of this process, based on the paraxial approximation, is presented, and we show how it can be exploited to produce a spin-controlled change in the orbital angular momentum of light beams propagating in patterned space-variant optical axis phase plates. We also unveil a new effect: the development of a strong modulation in the angular momentum change upon variation of the optical path through the phase plates.},
keywords = {angular momentum, anisotropic optical materials, polarization, polarization-selective devices, quantum optics},
doi = {10.1364/OL.32.000838},
url = {http://ol.osa.org/abstract.cfm?URI=ol-32-7-838},
author = {Calvo, Gabriel F. and Picon, Antonio}
}
@article {Calvo2006,
title = {Quantum field theory of photons with orbital angular momentum},
journal = {Physical Review A (Atomic, Molecular, and Optical Physics)},
volume = {73},
number = {1},
year = {2006},
month = {01/2006},
pages = {013805{\textendash}10},
keywords = {information theory, orbital angular momentum, quantum field theory, quantum optics},
doi = {10.1103/PhysRevA.73.013805},
url = {http://link.aps.org/abstract/PRA/v73/e013805},
author = {Calvo, Gabriel F. and Picon, Antonio and Bagan, Emili}
}
@article {Calvo2005,
title = {Wigner representation and geometric transformations of optical orbital angular momentum spatial modes},
journal = {Optics Letters},
volume = {30},
number = {10},
year = {2005},
month = {05/2005},
pages = {1207},
publisher = {OSA},
abstract = {An exact Wigner representation of optical spatial modes carrying orbital angular momentum is found in closed form by exploiting the underlying SU(2) Lie-group algebra of their associated Poincar{\'e} sphere. Orthogonality relations and observables of these states are obtained within the phase space picture. Development of geometric phases on mode transformations is also elucidated.},
keywords = {Berry{\textquoteright}s phase, Mathematical methods (general), Modes, Physical optics, Propagation},
issn = {0146-9592},
doi = {10.1364/OL.30.001207},
url = {http://ol.osa.org/abstract.cfm?URI=ol-30-10-1207},
author = {Calvo, Gabriel F.}
}