Extremal quantum states and their Majorana constellations

The characterization of quantum polarization of light requires knowledge of all the moments of the Stokes variables, which are appropriately encoded in the multipole expansion of the density matrix. We look into the cumulative distribution of those multipoles and work out the corresponding extremal...

Descripción completa

Detalles Bibliográficos
Autores: Björk, G., Klimov, Andrei B., Hoz Iglesias, Pablo de la, Grassl, M., Leuchs, Gerd, Sánchez Soto, Luis Lorenzo
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/24189
Acceso en línea:https://hdl.handle.net/20.500.14352/24189
Access Level:acceso abierto
Palabra clave:535
Unpolarized radiation
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:The characterization of quantum polarization of light requires knowledge of all the moments of the Stokes variables, which are appropriately encoded in the multipole expansion of the density matrix. We look into the cumulative distribution of those multipoles and work out the corresponding extremal pure states. We find that SU(2) coherent states are maximal to any order whereas the converse case of minimal states (which can be seen as the most quantum ones) is investigated for a diverse range of the number of photons. Taking advantage of the Majorana representation, we recast the problem as that of distributing a number of points uniformly over the surface of the Poincare sphere.