Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optical and Quantum Electronics

Platonic constellations of quantum polarization coherent states in Stokes space for photonic communications

Arturo Arvizu‐Mondragón, Francisco Javier Mendieta-Jiménez, César A. López-Mercado, Ramón Muraoka-Espíritu

Published Jul 16, 2025• 2 citations
Publisher
DOI
10.1007/s11082-025-08346-2

Related papers

Quantum coherent states in platonic constellations for multidimensional photonic communications

César A. López-Mercado, Francisco Javier Mendieta-Jiménez, Arturo Arvizu‐Mondragón +1 more

Quantum Information Processing•Feb 16, 2026•0 citations

Quantum photonic communications with four-dimensional constellations of coherent states undergoing phase noise

Arturo Arvizu‐Mondragón, Francisco Javier Mendieta-Jiménez, César A. López-Mercado +1 more

Optics Communications•Oct 5, 2024•1 citation

Photonic communications with quadrature-amplitude modulated quantum coherent states in alternated and dual polarizations

Arturo Arvizu‐Mondragón, Francisco Javier Mendieta-Jiménez, César A. López-Mercado +1 more

Quantum Information Processing•Jul 8, 2024•4 citations

Extremal quantum states and their Majorana constellations

Gunnar G. Bjork, A. B. Klimov, Pablo de la Hoz +3 more

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 Poincar\'e sphere.

arXiv:1503.03446•Physical Review A•Sep 1, 2015•56 citations

Stars of the quantum Universe: extremal constellations on the Poincaré sphere

Gunnar G. Bjork, Markus Grassl, Pablo de la Hoz +2 more

The characterization of the polarization properties of a quantum state requires the knowledge of the joint probability distribution of the Stokes variables. This amounts to assessing all the moments of these variables, which are aptly encoded in a multipole expansion of the density matrix. The cumulative distribution of these multipoles encapsulates in a handy manner the polarization content of the state. We work out the extremal states for that distribution, finding that SU(2) coherent states are maximal to any order, so they are the most polarized allowed by quantum theory. The converse case of pure states minimizing that distribution, which can be seen as the most quantum ones, is investigated for a diverse range of number of photons. Exploiting the Majorana representation, the problem appears to be closely related to distributing a number of points uniformly over the surface of the Poincaré sphere.

Physica Scripta•Sep 18, 2015•35 citations

Measurement operators for quantum coherent states in binary and quaternary photonic communications with polarization degree of freedom

Arturo Arvizu‐Mondragón, Francisco Javier Mendieta-Jiménez, César A. López-Mercado +1 more

Journal of Optics•Apr 3, 2024•4 citations
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 Poincar\'e sphere.
The characterization of the polarization properties of a quantum state requires the knowledge of the joint probability distribution of the Stokes variables. This amounts to assessing all the moments of these variables, which are aptly encoded in a multipole expansion of the density matrix. The cumulative distribution of these multipoles encapsulates in a handy manner the polarization content of the state. We work out the extremal states for that distribution, finding that SU(2) coherent states are maximal to any order, so they are the most polarized allowed by quantum theory. The converse case of pure states minimizing that distribution, which can be seen as the most quantum ones, is investigated for a diverse range of number of photons. Exploiting the Majorana representation, the problem appears to be closely related to distributing a number of points uniformly over the surface of the Poincaré sphere.