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  Extremal quantum states and their Majorana constellations

Bjork, G., Klimov, A. B., de la Hoz, P., Grassl, M., Leuchs, G., & Sanchez-Soto, L. L. (2015). Extremal quantum states and their Majorana constellations. PHYSICAL REVIEW A, 92(3): 031801. doi:10.1103/PhysRevA.92.031801.

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 Creators:
Bjork, G.1, Author
Klimov, A. B.1, Author
de la Hoz, P.1, Author
Grassl, M.2, Author           
Leuchs, G.3, Author           
Sanchez-Soto, L. L.4, Author           
Affiliations:
1external, ou_persistent22              
2Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364706              
3Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364698              
4Guests, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364696              

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Free keywords: UNPOLARIZED RADIATIONOptics; Physics;
 Abstract: 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.

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Language(s): eng - English
 Dates: 2015
 Publication Status: Published online
 Pages: 6
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

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Title: PHYSICAL REVIEW A
Source Genre: Journal
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Publ. Info: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA : AMER PHYSICAL SOC
Pages: - Volume / Issue: 92 (3) Sequence Number: 031801 Start / End Page: - Identifier: ISSN: 1050-2947