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Frontiers in Optics

Measurement of quantum polarization properties of three-photon states

Yosep Kim, Gunnar G. Bjork, Yoon-Ho Kim

Published Jan 1, 2016• 0 citations
Publisher

Abstract

We experimentally investigate quantum polarization of three-photon states. A number of representative three-photon states are prepared and tested for quantum polarization properties. Our results reveal interesting properties like hidden polarization.
DOI
10.1364/fio.2016.ff2c.8

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We experimentally investigate various quantum polarization features of three-photon quantum states, including product and entangled states with varying purity. The three-photon quantum states are categorized into six classes based on the rotation symmetry of mean, variance, and skewness of the polarization distribution. The representative three-photon quantum states in each category are prepared from double-pair emission from pulsed spontaneous parametric down-conversion and quantum interferometry. We demonstrate that the three-photon quantum states show interesting quantum polarization properties, such as maximum sum-uncertainty and hidden polarizations.
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Quantum polarization properties of two-mode states have been discussed in the context of quantum states with ``hidden polarization''. In this paper we demonstrate that all pure two-photon and three-photon states have unit degree of quantum polarization. We also show that pure states belonging to groups of discrete symmetry have unit degree of quantum polarization for arbitrary number of photons. For a certain class of two-photon states, we substantiate the possibility of generating the full basis set (three orthogonal states) by using only combinations of the SU(2) generators, i.e., by using geometrical rotations and differential phase shifts. Finally, we generate the whole basis set for pure reflection-symmetrical three-photon states by means of SU(2) generators.