Extremal quantum states and their Majorana constellations
2015 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 92, no 3, 031801Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2015. Vol. 92, no 3, 031801
IdentifiersURN: urn:nbn:se:kth:diva-173768DOI: 10.1103/PhysRevA.92.031801ISI: 000360329200001OAI: oai:DiVA.org:kth-173768DiVA: diva2:855528
FunderSwedish Research Council, 621-2011-4575EU, FP7, Seventh Framework Programme, Q-ESSENCEWenner-Gren Foundations
QC 201509212015-09-212015-09-182015-09-21Bibliographically approved