SU(3) Quantum Interferometry with single-photon input pulses
Si-Hui Tan, Yvonne Y. Gao, Hubert de Guise, and Barry C. Sanders
TL;DR
This paper introduces a group-theoretic framework for analyzing SU(3) quantum interferometry with single-photon pulses, revealing how coincidence measurements relate to matrix invariants like permanents and determinants.
Contribution
It develops a novel SU(3) group-theoretic approach to analyze three-channel quantum interferometers with single-photon inputs, generalizable to higher-order experiments.
Findings
Coincidence plots encode information about matrix invariants.
The framework connects photon timing data to permanents, immanants, and determinants.
Method can be extended to more complex interferometric setups.
Abstract
We develop a framework for solving the action of a three-channel passive optical interferometer on single-photon pulse inputs to each channel using SU(3) group-theoretic methods, which can be readily generalized to higher-order photon-coincidence experiments. We show that features of the coincidence plots vs relative time delays of photons yield information about permanents, immanants, and determinants of the interferometer SU(3) matrix.
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