Extremal quantum states and their Majorana constellations

被引：42

作者：

Bjork, G. ^{[1
]}

Klimov, A. B. ^{[2
]}

de la Hoz, P. ^{[3
]}

Grassl, M. ^{[4
,5
]}

Leuchs, G. ^{[4
,5
]}

Sanchez-Soto, L. L. ^{[3
,4
,5
]}

机构：

[1] Royal Inst Technol KTH, Dept Appl Phys, AlbaNova, S-10691 Stockholm, Sweden

[2] Univ Guadalajara, Dept Fis, Guadalajara 44420, Jalisco, Mexico

[3] Univ Complutense Madrid, Dept Opt, Fac Fis, E-28040 Madrid, Spain

[4] Max Planck Inst Phys Lichts, D-91058 Erlangen, Germany

[5] Univ Erlangen Nurnberg, Inst Opt Informat & Photon, D-91058 Erlangen, Germany

来源：

PHYSICAL REVIEW A | 2015年 / 92卷 / 03期

基金：

瑞典研究理事会;

关键词：

D O I：

10.1103/PhysRevA.92.031801

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：6

共 42 条

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