Coincidence landscapes for three-channel linear optical networks

Hubert de Guise, Si-Hui Tan, Isaac P. Poulin, and Barry C. Sanders

Phys. Rev. A 89, 063819 – Published 23 June 2014; Erratum Phys. Rev. A 90, 069901 (2014)

Abstract

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.

Received 13 February 2014

DOI:https://doi.org/10.1103/PhysRevA.89.063819

Erratum

Erratum: Coincidence landscapes for three-channel linear optical networks [Phys. Rev. A 89, 063819 (2014)]

Hubert de Guise, Si-Hui Tan, Isaac P. Poulin, and Barry C. Sanders

Phys. Rev. A 90, 069901 (2014)

Authors & Affiliations

Hubert de Guise^1,*, Si-Hui Tan^2,†, Isaac P. Poulin¹, and Barry C. Sanders^3,4,‡

¹Department of Physics, Lakehead University, Thunder Bay, Ontario P7B 5E1, Canada
²Singapore University of Technology, 20 Dover Drive, Singapore 138682
³Institute for Quantum Science and Technology, University of Calgary, Calgary, Alberta T2N 1N4, Canada
⁴Program in Quantum Information Science, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada

^*hubert.deguise@lakeheadu.ca
^†sihui_tan@sutd.edu.sg
^‡sandersb@ucalgary.ca

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Vol. 89, Iss. 6 — June 2014

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