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arXiv:1709.03317 · Physical Review Letters

Continuous-Variable Triple-Photon States Quantum Entanglement

Edgar A. Rojas-Gonzales, Adrien Borne, Benoı̂t Boulanger, Juan Ariel Levenson, Kamel Bencheikh

Published Jan 22, 2018• 55 citations
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Abstract

We investigate the quantum entanglement of the three modes associated with the three-photon states obtained by triple-photon generation in a phase-matched third-order nonlinear optical interaction. Although the second-order processes have been extensively dealt with, there is no direct analogy between the second and third-order mechanisms. We show, for example, the absence of quantum entanglement between the quadratures of the three modes in the case of spontaneous parametric triple-photon generation. However, we show robust, seeding-dependent, genuine triple-photon entanglement in the fully seeded case.

DOI
10.1103/physrevlett.120.043601

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We investigate the quantum entanglement of the three modes associated with the three-photon states obtained by triple-photon generation in a phase-matched third-order nonlinear optical interaction. Although the second-order processes have been extensively dealt with, there is no direct analogy between the second and third-order mechanisms. We show, for example, the absence of quantum entanglement between the quadratures of the three modes in the case of spontaneous parametric triple-photon generation. However, we show robust, seeding-dependent, genuine triple-photon entanglement in the fully seeded case.
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Demonstrating quantum properties of triple photons generated by χ3\chi ^3χ3 processes
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Nonlinear optical devices are very useful for generating entanglement. One proposal for the generation of genuine tripartite entanglement [ Phys. Rev. Lett. 120 , 043601 ( 2018 ) PRLTAO 0031-9007 10.1103/PhysRevLett.120.043601 ] is to use a third-order nonlinear optical interaction. Here, we investigate a generalization of this, where we consider the quantum nature of all modes; moreover, we also investigate quantum steering, which is a stronger and asymmetric non-local correlation. We show that the final state presents not only tripartite continuous variable entanglement but also tripartite steering.