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

International Journal of Quantum Information

SCALING PROPERTIES OF MULTIPARTITE ENTANGLEMENT IN PARAMETRIC DOWN-CONVERSION

Giuseppe Patera, Mikhail I. Kolobov

Published Jun 1, 2011• 0 citations
Publisher

Abstract

We quantify and compare the quantum multipartite entanglement generated in two different physical systems involving parametric down-conversion of a multimode pumping field. In particular, we focus our attention on its scaling properties with respect to the number N of modes involved in the processes.
DOI
10.1142/s0219749911007812

Related papers

Exploring entanglement in open cavity parametric oscillators: From triply to doubly resonant cavities

Barbara Abigail Ferreira Ribeiro, Rayssa Bruzaca de Andrade, M. Martinelli +1 more

We use a versatile model to evaluate the multipartite entanglement and the nonclassical light generation in optical parametric oscillators, exploring the differences between doubly and triply resonant cavity configurations. We demonstrate the entanglement of the pump mode with converted fields in both situations, and the fundamental differences of oscillators using parametric down conversion and four wave mixing processes as the intracavity amplification technique. The strong correlations involving the sidebands of the pump and converted fields give the signatures of a rich dynamic of multipartite entanglement.

arXiv:2004.06219•Physical Review A•Aug 21, 2020•7 citations

Spatial structure of multipartite entanglement in parametric down-conversion with structured pump

Giuseppe Patera, Mikhail I. Kolobov

We introduce the concept of spatiotemporal multipartite entanglement and study its space-time properties in terms of coherence time and the coherence area as functions of the number of entangled “parties” in the system.

International Conference on Quantum Information•Jan 1, 2011•0 citations

Spatial multipartite entanglement and localization of entanglement

D. Daems, Nicolas J. Cerf

We present a simple model together with its physical implementation which allows one to generate multipartite entanglement between several spatial modes of the electromagnetic field. It is based on parametric down-conversion with $N$ pairs of symmetrically tilted plane waves serving as a pump. The characteristics of this spatial entanglement are investigated in the cases of zero as well as nonzero phase mismatch. Furthermore, the phenomenon of entanglement localization in just two spatial modes is studied in detail and shown to result in an enhancement of the entanglement by a factor $\sqrt{N}$.

arXiv:1003.0180•Physical Review A•Sep 9, 2010•12 citations

Signal-pump entanglement in quantumk-photon down-conversion

Vladimír Bužek, G. Drobný

We study the quantum dynamics of the k-photon down-conversion process. We concentrate our attention on the entanglement between the pump and the signal modes. We show that the degree of the entanglement between the pump and the signal depends on the initial statistics of the light field in both modes. Moreover, the higher the nonlinear process the stronger the entanglement is. The entanglement between the modes is related to the marginal entropy in the pump (signal) mode; i.e., the larger the entanglement, the larger the entropy is. In the quantum k-photon down-conversion the signal mode at t>0 is not generally in a pure state which restricts applicability of the parametric approximation.

Physical Review A•Feb 1, 1993•24 citations

Investigating the entanglement structure of down-converted photon pairs

Filippo M. Miatto, Alison M. Yao, Stephen Mark Barnett +2 more

We investigate the entanglement of photons produced by spontaneous parametric down-conversion. We analyse the down-converted state for any pump beam and for any detection modes in the complete Laguerre-Gauss basis.

International Conference on Quantum Information•Jan 1, 2011•1 citation

Engineering multipartite coupling in doubly pumped parametric down-conversion processes

A. Gatti, E. Brambilla, Ottavia Jedrkiewicz

We investigate the quantum state generated by optical parametric down-conversion in a ${\ensuremath{\chi}}^{(2)}$ medium driven by two noncollinear light modes. The analysis shows the emergence of multimode, namely, three- or four-mode, entangled states in a subset of the spatiotemporal modes generated by the process. These appear as bright spots against the background fluorescence, providing an interesting analogy with the phenomenology recently observed in two-dimensional nonlinear photonic crystals. We study two realistic setups. (1) Noncritical phase matching in a periodically poled lithium tantalate slab, characterized by a three-mode entangled state. (2) A type I setup in a beta-barium borate crystal, where the spatial walk-off between the two pumps can be exploited to make a transition to a four-mode entangled state. In both cases, we show that the properties of the state can be controlled by modulating the relative intensity of two pump waves, making the device a versatile tool for quantum state engineering.

arXiv:2007.12014•Physical Review A•Apr 26, 2021•1 citation
We use a versatile model to evaluate the multipartite entanglement and the nonclassical light generation in optical parametric oscillators, exploring the differences between doubly and triply resonant cavity configurations. We demonstrate the entanglement of the pump mode with converted fields in both situations, and the fundamental differences of oscillators using parametric down conversion and four wave mixing processes as the intracavity amplification technique. The strong correlations involving the sidebands of the pump and converted fields give the signatures of a rich dynamic of multipartite entanglement.
We present a simple model together with its physical implementation which allows one to generate multipartite entanglement between several spatial modes of the electromagnetic field. It is based on parametric down-conversion with NNN pairs of symmetrically tilted plane waves serving as a pump. The characteristics of this spatial entanglement are investigated in the cases of zero as well as nonzero phase mismatch. Furthermore, the phenomenon of entanglement localization in just two spatial modes is studied in detail and shown to result in an enhancement of the entanglement by a factor N\sqrt{N}N​.
We study the quantum dynamics of the k-photon down-conversion process. We concentrate our attention on the entanglement between the pump and the signal modes. We show that the degree of the entanglement between the pump and the signal depends on the initial statistics of the light field in both modes. Moreover, the higher the nonlinear process the stronger the entanglement is. The entanglement between the modes is related to the marginal entropy in the pump (signal) mode; i.e., the larger the entanglement, the larger the entropy is. In the quantum k-photon down-conversion the signal mode at t>0 is not generally in a pure state which restricts applicability of the parametric approximation.
We investigate the quantum state generated by optical parametric down-conversion in a ${\ensuremath{\chi}}^{(2)}$ medium driven by two noncollinear light modes. The analysis shows the emergence of multimode, namely, three- or four-mode, entangled states in a subset of the spatiotemporal modes generated by the process. These appear as bright spots against the background fluorescence, providing an interesting analogy with the phenomenology recently observed in two-dimensional nonlinear photonic crystals. We study two realistic setups. (1) Noncritical phase matching in a periodically poled lithium tantalate slab, characterized by a three-mode entangled state. (2) A type I setup in a beta-barium borate crystal, where the spatial walk-off between the two pumps can be exploited to make a transition to a four-mode entangled state. In both cases, we show that the properties of the state can be controlled by modulating the relative intensity of two pump waves, making the device a versatile tool for quantum state engineering.