TY - JOUR
T1 - Manipulation of single-photon states encoded in transverse spatial modes: Possible and impossible tasks
JF - Physical Review A (Atomic, Molecular, and Optical Physics)
Y1 - 2008
A1 - Calvo, Gabriel F.
A1 - Picon, Antonio
KW - SU(3) theory
AB - 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.
VL - 77
UR - http://link.aps.org/doi/10.1103/PhysRevA.77.012302
ER -
TY - JOUR
T1 - Measuring the Complete Transverse Spatial Mode Spectrum of a Wave Field
JF - Physical Review Letters
Y1 - 2008
A1 - Calvo, Gabriel F.
A1 - Picon, Antonio
A1 - Zambrini, Roberta
VL - 100
UR - http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=PRLTAO000100000017173902000001&idtype=cvips&prog=normal
ER -
TY - JOUR
T1 - Measuring two-photon orbital angular momentum entanglement
JF - Physical Review A (Atomic, Molecular, and Optical Physics)
Y1 - 2007
A1 - Calvo, Gabriel F.
A1 - Picon, Antonio
A1 - Bramon, Albert
KW - orbital angular momentum
KW - quantum entanglement
KW - quantum optics
VL - 75
UR - http://link.aps.org/abstract/PRA/v75/e012319
ER -
TY - JOUR
T1 - Spin-induced angular momentum switching
JF - Optics Letters
Y1 - 2007
A1 - Calvo, Gabriel F.
A1 - Picon, Antonio
KW - angular momentum
KW - anisotropic optical materials
KW - polarization
KW - polarization-selective devices
KW - quantum optics
AB - 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.
VL - 32
UR - http://ol.osa.org/abstract.cfm?URI=ol-32-7-838
ER -
TY - JOUR
T1 - Quantum field theory of photons with orbital angular momentum
JF - Physical Review A (Atomic, Molecular, and Optical Physics)
Y1 - 2006
A1 - Calvo, Gabriel F.
A1 - Picon, Antonio
A1 - Bagan, Emili
KW - information theory
KW - orbital angular momentum
KW - quantum field theory
KW - quantum optics
VL - 73
UR - http://link.aps.org/abstract/PRA/v73/e013805
ER -
TY - JOUR
T1 - Wigner representation and geometric transformations of optical orbital angular momentum spatial modes
JF - Optics Letters
Y1 - 2005
A1 - Calvo, Gabriel F.
KW - Berry's phase
KW - Mathematical methods (general)
KW - Modes
KW - Physical optics
KW - Propagation
AB - 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 PoincarĂ© 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.
PB - OSA
VL - 30
UR - http://ol.osa.org/abstract.cfm?URI=ol-30-10-1207
ER -