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Extremal quantum states and their Majorana constellations
KTH, School of Engineering Sciences (SCI), Applied Physics, Quantum Electronics and Quantum Optics, QEO.ORCID iD: 0000-0002-2082-9583
Univ Guadalajara, Dept Fis, Guadalajara 44420, Jalisco, Mexico..
Univ Complutense Madrid, Dept Opt, Fac Fis, E-28040 Madrid, Spain..
Max Planck Inst Phys Lichts, D-91058 Erlangen, Germany.;Univ Erlangen Nurnberg, Inst Opt Informat & Photon, D-91058 Erlangen, Germany..
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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
Abstract [en]

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
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-173768DOI: 10.1103/PhysRevA.92.031801ISI: 000360329200001OAI: diva2:855528
Swedish Research Council, 621-2011-4575EU, FP7, Seventh Framework Programme, Q-ESSENCEWenner-Gren Foundations

QC 20150921

Available from: 2015-09-21 Created: 2015-09-18 Last updated: 2015-09-21Bibliographically approved

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Björk, Gunnar
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