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

Kluwer Academic Publishers eBooks

Polarization in Quantum Optics: A new Formalism and Two Experiments

Tedros Tsegaye, P. A. Usachev, Jonas Söderholm, Alexei S. Trifonov, Gunnar G. Bjork, Mete Atatüre, Malvin Carl Teich, Alexander V. Sergienko, Bahaa E. A. Saleh

Published Feb 24, 2006• 0 citations
Publisher

Abstract

We report on two quantum polarization experiments. The first one shows that three geometrical rotations can in principle be distinguished with certainty using two photons. The second experiment shows quantum polarization properties of classically unpolarized light. We outline a new treatment of polarization in quantum optics. Our formalism differs from the usual quantum description, which uses the Stokes operators. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

DOI
10.1007/0-306-47114-0_71

Related papers

Quantum Teleportation with Complete Bell State Measurement

Yoon-Ho Kim, S. P. Kulik, Yanhua H. Shih

We report a quantum teleportation experiment in which nonlinear interactions are used for Bell state measurement. The experimental results demonstrate the working principle of irreversibly teleporting an unknown arbitrary quantum state from one system to another distant system by disassembling into and then later reconstructing from purely classical information and nonclassical EPR correlations. The distinct feature of this experiment is that all four Bell states can be distinguished in the Bell state measurement. Teleportation of a quantum state can thus occur with certainty in principle. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Kluwer Academic Publishers eBooks•Feb 24, 2006•12 citations

Quantum resolution of geometric rotations of polarization

L. Tsegaye, Jonas Söderholm, Mete Atatüre +5 more

Summary form only given. In quantum optics the usual way of treating polarization has been to use the Stokes parameters. Here we present a different approach starting from the quantum description of geometric rotation of polarization.

Conference on Lasers and Electro-Optics•Aug 29, 2005•0 citations

Quantum analysis of polarization properties of optical beams

Mayukh Lahiri, E. Wolf

We present a quantum treatment of polarization of optical beams and discuss some properties of beams of any state of polarization. The analysis is based on quantum-mechanical interpretation of a canonical experiment that is used to elucidate polarization properties of stochastic fields in classical optics. Our work shows how to apply some ideas and techniques, commonly used in the classical theory, for fields that cannot be treated classically.

Physical Review A•Oct 6, 2010•16 citations

Geometric Phases in Action

Dariusz Chruściński, Andrzej Jamiołkowski

Both Berry’s phase and Hannay’s angles could have been discovered long before they were. In 1938 Russian physicist Sergei M. Rytov investigated the rotation of the polarization vector of light travelling along the coiled ray. Actually, as was shown by V.V. Vladimirskii in 1941, Rytov’s observation finds an elegant interpretation in terms of geometric properties of a coiled ray. It turns out that rotation of polarization may be interpreted as a simple manifestation of the geometric phase. Actually, the similar conclusion was made by Bortolotti in 1926, however, both Bortolotti and Rytov-Vladimirskii papers were completely unknown to optical community. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Birkhäuser Boston eBooks•Jan 1, 2004•0 citations

Quantum concepts in optical polarization

Aaron Z. Goldberg, Pablo de la Hoz, Gunnar G. Bjork +4 more

We comprehensively review the quantum theory of the polarization properties of light. In classical optics, these traits are characterized by the Stokes parameters, which can be geometrically interpreted using the Poincaré sphere. Remarkably, these Stokes parameters can also be applied to the quantum world, but then important differences emerge: now, because fluctuations in the number of photons are unavoidable, one is forced to work in the three-dimensional Poincaré space that can be regarded as a set of nested spheres. Additionally, higher-order moments of the Stokes variables might play a substantial role for quantum states, which is not the case for most classical Gaussian states. This brings about important differences between these two worlds that we review in detail. In particular, the classical degree of polarization produces unsatisfactory results in the quantum domain. We compare alternative quantum degrees and put forth that they order various states differently. Finally, intrinsically nonclassical states are explored, and their potential applications in quantum technologies are discussed.

arXiv:2011.03979•Advances in Optics and Photonics•Nov 17, 2020•98 citations

Geometry of Quantum Evolution

Dariusz Chruściński, Andrzej Jamiołkowski

Usually one uses completely different mathematical descriptions to formulate classical and quantum mechanics. Classical theory may be nicely formulated in terms of symplectic geometry, and the quantum one in terms of algebraic objects related to a complex Hilbert space. However, it turns out that standard, nonrelativistic quantum mechanics possesses natural geometric structure that is even richer than that found in classical mechanics. This section reveals the beauty of the geometric approach to quantum theory and stands as a basis for the elegant geometrical ideas of Pancharatnam and, later on, of Aharonov and Anandan. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Birkhäuser Boston eBooks•Jan 1, 2004•2 citations
We report on two quantum polarization experiments. The first one shows that three geometrical rotations can in principle be distinguished with certainty using two photons. The second experiment shows quantum polarization properties of classically unpolarized light. We outline a new treatment of polarization in quantum optics. Our formalism differs from the usual quantum description, which uses the Stokes operators. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
We report a quantum teleportation experiment in which nonlinear interactions are used for Bell state measurement. The experimental results demonstrate the working principle of irreversibly teleporting an unknown arbitrary quantum state from one system to another distant system by disassembling into and then later reconstructing from purely classical information and nonclassical EPR correlations. The distinct feature of this experiment is that all four Bell states can be distinguished in the Bell state measurement. Teleportation of a quantum state can thus occur with certainty in principle. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Both Berry’s phase and Hannay’s angles could have been discovered long before they were. In 1938 Russian physicist Sergei M. Rytov investigated the rotation of the polarization vector of light travelling along the coiled ray. Actually, as was shown by V.V. Vladimirskii in 1941, Rytov’s observation finds an elegant interpretation in terms of geometric properties of a coiled ray. It turns out that rotation of polarization may be interpreted as a simple manifestation of the geometric phase. Actually, the similar conclusion was made by Bortolotti in 1926, however, both Bortolotti and Rytov-Vladimirskii papers were completely unknown to optical community. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
We comprehensively review the quantum theory of the polarization properties of light. In classical optics, these traits are characterized by the Stokes parameters, which can be geometrically interpreted using the Poincaré sphere. Remarkably, these Stokes parameters can also be applied to the quantum world, but then important differences emerge: now, because fluctuations in the number of photons are unavoidable, one is forced to work in the three-dimensional Poincaré space that can be regarded as a set of nested spheres. Additionally, higher-order moments of the Stokes variables might play a substantial role for quantum states, which is not the case for most classical Gaussian states. This brings about important differences between these two worlds that we review in detail. In particular, the classical degree of polarization produces unsatisfactory results in the quantum domain. We compare alternative quantum degrees and put forth that they order various states differently. Finally, intrinsically nonclassical states are explored, and their potential applications in quantum technologies are discussed.
Usually one uses completely different mathematical descriptions to formulate classical and quantum mechanics. Classical theory may be nicely formulated in terms of symplectic geometry, and the quantum one in terms of algebraic objects related to a complex Hilbert space. However, it turns out that standard, nonrelativistic quantum mechanics possesses natural geometric structure that is even richer than that found in classical mechanics. This section reveals the beauty of the geometric approach to quantum theory and stands as a basis for the elegant geometrical ideas of Pancharatnam and, later on, of Aharonov and Anandan. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.