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SU(3) Quantum Interferometry with single-photon input pulses

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arxiv 1208.5677 v3 pith:2KJ2SCJT submitted 2012-08-28 quant-ph math-phmath.MP

classification quant-phmath-phmath.MP
keywords interferometersingle-photonactionchannelcoincidencedelaysdeterminantsdevelop
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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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    A multi-photon state behaves like a stochastic mixture of distinguishability patterns exactly when its interference parameters depend only on permutation cycle structure, enabling a compact partition representation an...

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