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

Quantum Communications and Quantum Imaging

Coincidence rates and permutation symmetry

Hubert de Guise, Barry C. Sanders

Published Aug 30, 2017• 0 citations
Publisher

Abstract

We discuss the importance of permutation symmetry on coincidence rates at interferometer outputs, how permutations naturally lead partition the many-photon space, and how permutation symmetry reveals the connection between partial distinguishability, matrix immanants and the complexity of the coincidence landscape.
DOI
10.1117/12.2273411

Related papers

Relation of permutation symmetry of the tensor of nonlinear susceptibility to the conservation laws of photon number in nonlinear quadratic nondissipative and partially dissipative media

Pavel Chmela

Czechoslovak Journal of Physics•Jul 1, 1973•3 citations

Permutational symmetries for coincidence rates in multimode multiphotonic interferometry

Abdullah Khalid, Dylan Spivak, Barry C. Sanders +1 more

We obtain coincidence rates for passive optical interferometry by exploiting the permutational symmetries of partially distinguishable input photons, and our approach elucidates qualitative features of multiphoton coincidence landscapes. We treat the interferometer input as a product state of any number of photons in each input mode with photons distinguished by their arrival time. Detectors at the output of the interferometer count photons from each output mode over a long integration time. We generalize and prove the claim of Tillmann et al. [Phys. Rev. X 5, 041015 (2015)] that coincidence rates can be elegantly expressed in terms of immanants. Immanants are functions of matrices that exhibit permutational symmetries and the immanants appearing in our coincidence-rate expressions share permutational symmetries with the input state. Our results are obtained by employing representation theory of the symmetric group to analyze systems of an arbitrary number of photons in arbitrarily sized interferometers.

arXiv:1709.06615•Physical Review A•Jun 4, 2018•10 citations

A Coincidence Counting System for Twelve-photon Entanglement Experiment

Yi Hu, Wei Li, Yuefei Wang +2 more

International Conference on Photonics, Optics and Laser Technology•Jan 1, 2019•0 citations

Coincidence landscapes for three-channel linear optical networks

Hubert de Guise, Si-Hui Tan, Isaac P. Poulin +1 more

We use permutation-group methods plus SU(3) group-theoretic methods to determine the action of a three-channel passive optical interferometer on controllably delayed single-photon pulse inputs to each channel. Permutation-group techniques allow us to relate directly expressions for rates and, in particular, investigate symmetries in the coincidence landscape. These techniques extend the traditional Hong-Ou-Mandel effect analysis for two-channel interferometry to valleys and plateaus in three-channel interferometry. Our group-theoretic approach is intuitively appealing because the calculus of Wigner D functions partially accounts for permutational symmetries and directly reveals the connections among D functions, partial distinguishability, and immanants.

arXiv:1402.2391•Physical Review A•Jun 23, 2014•37 citations

Entanglement via permutation symmetry and reflection invariance of angular momentum algebra

Naghi Behzadi, Hossein Fakhri

The European Physical Journal D•Nov 5, 2010•4 citations

Transfer of quantum correlations from one-photon systems to entangled two-photon systems

Anand K. Jha

This talk will go through the basics of coherence and two-particle entanglement and will present some of our work related to how quantum correlations from one-photon systems get transferred to entangled two-photon systems.

International conference on fiber optics and photonics•Jan 1, 2016•0 citations
We obtain coincidence rates for passive optical interferometry by exploiting the permutational symmetries of partially distinguishable input photons, and our approach elucidates qualitative features of multiphoton coincidence landscapes. We treat the interferometer input as a product state of any number of photons in each input mode with photons distinguished by their arrival time. Detectors at the output of the interferometer count photons from each output mode over a long integration time. We generalize and prove the claim of Tillmann et al. [Phys. Rev. X 5, 041015 (2015)] that coincidence rates can be elegantly expressed in terms of immanants. Immanants are functions of matrices that exhibit permutational symmetries and the immanants appearing in our coincidence-rate expressions share permutational symmetries with the input state. Our results are obtained by employing representation theory of the symmetric group to analyze systems of an arbitrary number of photons in arbitrarily sized interferometers.
We use permutation-group methods plus SU(3) group-theoretic methods to determine the action of a three-channel passive optical interferometer on controllably delayed single-photon pulse inputs to each channel. Permutation-group techniques allow us to relate directly expressions for rates and, in particular, investigate symmetries in the coincidence landscape. These techniques extend the traditional Hong-Ou-Mandel effect analysis for two-channel interferometry to valleys and plateaus in three-channel interferometry. Our group-theoretic approach is intuitively appealing because the calculus of Wigner D functions partially accounts for permutational symmetries and directly reveals the connections among D functions, partial distinguishability, and immanants.