Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0306109 · Journal of the Optical Society of America B

Three-mode entanglement by interlinked nonlinear interactions in optical χ^(2) media

Alessandro Ferraro, Matteo G. A. Paris, Maria Bondani, Alessia Allevi, Emiliano Puddu, Alessandra Andreoni

Published Jun 1, 2004• 133 citations
arXivHTMLPDF

Abstract

We address the generation of fully inseparable three-mode entangled states of radiation by interlinked nonlinear interactions in χ(2) media. We show how three-mode entanglement can be used to realize symmetric and asymmetric telecloning machines, which achieve optimal fidelity for coherent states. An experimental implementation involving a single nonlinear crystal in which the two interactions take place simultaneously is suggested. Preliminary experimental results showing the feasibility and the effectiveness of the interaction scheme with a seeded crystal are also presented.

DOI
10.1364/josab.21.001241

Related papers

3D phase-matching conditions for the generation of entangled triplets by χ^(2) interlinked interactions

Maria Bondani, Alessia Allevi, Eleonora Gevinti +2 more

An analytical calculation of the interaction geometry of two interlinked second-order nonlinear processes fulfilling phase-matching conditions is presented. The method is developed for type-I uniaxial crystals and gives the positions on a screen beyond the crystal of the entangled triplets generated by the interactions. The analytical results are compared to experiments realized in the macroscopic regime. Preliminary tests to identify the triplets are also performed based on ntensity correlations.

arXiv:quant-ph/0604002•Optics Express•Oct 16, 2006•15 citations

Classical and quantum aspects of multimode parametric interactions

Alessia Allevi, Maria Bondani, Alessandro Ferraro +1 more

Parametric interactions in nonlinear crystals represent a powerful tool in the optical manipulation of information, both in the classical and the quantum regime. Here, we analyze in detail classical and quantum aspects of three-and five-mode parametric interactions in x (2) nonlinear crystals. The equations of motion are explicitly derived and then solved within the parametric approximation. We describe several applications, including holography, all-optical gates, generation of entanglement, and telecloning. Experimental results on the photon distributions and correlations of the generated beams are also reported and discussed.

Laser Physics•Sep 28, 2006•27 citations

The Generation of Entangled Coherent States

Jie‐Qiao Liao

The authors of this paper propose an optical scheme for the generation of entangled coherent states which include the multi-mode and high-dimensional entangled coherent states.The scheme is based on the interaction of nonlinear Kerr medium and optical fields.The authors find that muliti-mode and high-dimensional entangled coherent states can be generated through proper selections of the fields′ initial states,the time of the interaction and the generalized bell measurement.The authors also find that the interaction of nonlinear Kerr media can generate entanglement when the states of input modes are prepared in coherent state and superposed Fock states.

Acta Sinica Quantum Optica•Jan 1, 2006•0 citations

NONLINEAR OPTICAL PROCESSES PRODUCING THREE-FOLD ENTANGLEMENTS VIA χ(2) AND χ(3) MATERIAL

Ajung Kim

It is demonstrated that three-fold entangled states could lead to photon duplication as well as measurement of photon numbers of the first kind. Nonlinear optical schemes using χ(2) and χ(3) material for realizing such systems are suggested. Weak input power signals and fast response photodetectors are required for ideal operations. A criterion of incorrect operation of photon number cloning is also introduced and the operations of these realizations are studied for high-speed photodetectors and coherent state input field.

Journal of Nonlinear Optical Physics & Materials•Mar 1, 2005•0 citations

NONCLASSICAL TRIPARTITE FIELD WITH MACROSCOPIC INTENSITY

Alessia Allevi, Maria Bondani, Alessandra Andreoni

We realize two interlinked nonlinear interactions by injecting two intense pumps in a single nonlinear crystal. Starting from the vacuum state, the process yields a tripartite entangled state. We investigate the evolution of the mean number of photons in the three generated fields as a function of the pump-field intensities and obtain a good agreement with the predictions of a single-mode theoretical description.

International Journal of Quantum Information•Jan 1, 2009•1 citation

Multiphoton path-entanglement generation by concurrent parametric down-conversion in a single χ(2) nonlinear photonic crystal

Yan-Xiao Gong, Ping Xu, Y. F. Bai +4 more

We propose a two-dimensional ${\ensuremath{\chi}}^{(2)}$ nonlinear photonic crystal capable of satisfying quasi-phase-matching conditions for two or three parametric down-conversions simultaneously. Seeded by a two-mode coherent state, this crystal can produce two-, three-, four-, or five-photon path-entangled states, provided the corresponding number photons are produced, i.e., in a postselection-free way. In particular, up to five-photon NOON state can be generated, which enables phase supersensitive measurements at the Heisenberg limit. The concurrent multiple quasi-phase-matchings provided by the nonlinear photonic crystal open up a way to integrated quantum light sources.

Physical Review A•Aug 20, 2012•15 citations
We address the generation of fully inseparable three-mode entangled states of radiation by interlinked nonlinear interactions in χ(2) media. We show how three-mode entanglement can be used to realize symmetric and asymmetric telecloning machines, which achieve optimal fidelity for coherent states. An experimental implementation involving a single nonlinear crystal in which the two interactions take place simultaneously is suggested. Preliminary experimental results showing the feasibility and the effectiveness of the interaction scheme with a seeded crystal are also presented.
An analytical calculation of the interaction geometry of two interlinked second-order nonlinear processes fulfilling phase-matching conditions is presented. The method is developed for type-I uniaxial crystals and gives the positions on a screen beyond the crystal of the entangled triplets generated by the interactions. The analytical results are compared to experiments realized in the macroscopic regime. Preliminary tests to identify the triplets are also performed based on ntensity correlations.
Parametric interactions in nonlinear crystals represent a powerful tool in the optical manipulation of information, both in the classical and the quantum regime. Here, we analyze in detail classical and quantum aspects of three-and five-mode parametric interactions in x (2) nonlinear crystals. The equations of motion are explicitly derived and then solved within the parametric approximation. We describe several applications, including holography, all-optical gates, generation of entanglement, and telecloning. Experimental results on the photon distributions and correlations of the generated beams are also reported and discussed.
The authors of this paper propose an optical scheme for the generation of entangled coherent states which include the multi-mode and high-dimensional entangled coherent states.The scheme is based on the interaction of nonlinear Kerr medium and optical fields.The authors find that muliti-mode and high-dimensional entangled coherent states can be generated through proper selections of the fields′ initial states,the time of the interaction and the generalized bell measurement.The authors also find that the interaction of nonlinear Kerr media can generate entanglement when the states of input modes are prepared in coherent state and superposed Fock states.
It is demonstrated that three-fold entangled states could lead to photon duplication as well as measurement of photon numbers of the first kind. Nonlinear optical schemes using χ(2) and χ(3) material for realizing such systems are suggested. Weak input power signals and fast response photodetectors are required for ideal operations. A criterion of incorrect operation of photon number cloning is also introduced and the operations of these realizations are studied for high-speed photodetectors and coherent state input field.
We propose a two-dimensional ${\ensuremath{\chi}}^{(2)}$ nonlinear photonic crystal capable of satisfying quasi-phase-matching conditions for two or three parametric down-conversions simultaneously. Seeded by a two-mode coherent state, this crystal can produce two-, three-, four-, or five-photon path-entangled states, provided the corresponding number photons are produced, i.e., in a postselection-free way. In particular, up to five-photon NOON state can be generated, which enables phase supersensitive measurements at the Heisenberg limit. The concurrent multiple quasi-phase-matchings provided by the nonlinear photonic crystal open up a way to integrated quantum light sources.