RT Journal Article
T1 Extremal quantum states and their Majorana constellations
A1 Björk, G.
A1 Klimov, Andrei B.
A1 Hoz Iglesias, Pablo de la
A1 Grassl, M.
A1 Leuchs, Gerd
A1 Sánchez Soto, Luis Lorenzo
AB 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.
PB American Physical Society
SN 1050-2947
YR 2015
FD 2015-09-01
LK https://hdl.handle.net/20.500.14352/24189
UL https://hdl.handle.net/20.500.14352/24189
LA eng
NO ©2015 American Physical Society. The authors acknowledge interesting discussions with Professor Daniel Braun and Olivia di Matteo. Financial support from the Swedish Research Council (VR) through its Linnaeus Center of Excellence ADOPT and Contract No. 621-2011-4575, the CONACyT (Grant No. 106525), the European Union FP7 (Grant Q-ESSENCE), and the Program UCM-Banco Santander (Grant No. GR3/14) is gratefully acknowledged. G.B. thanks the MPL for hosting him and the Wenner-Gren Foundation for economic support.
NO Unión Europea. FP7
NO Swedish Research Council (VR)
NO Consejo Nacional de Ciencia y Tecnologia (CONACyT), México
NO Banco Santander Central Hispano (BSCH)
NO Wenner-Gren Foundation
NO Linnaeus Center of Excellence ADOPT, Suecia
NO Universidad Complutense de Madrid (UCM)
DS Docta Complutense
RD 16 abr 2025