Multipartite spatial entanglement generated by concurrent nonlinear processes

Abstract

Continuous variables multipartite entanglement is a key resource for quantum technologies. This works considers the multipartite entanglement generated in separated spatial modes of the same light beam by three different parametric sources: a standard ${\chi }^{(2)}$ medium pumped by two pumps, a single-pump nonlinear photonic crystal, and a doubly pumped nonlinear photonic crystal. These sources have in common the coexistence of several concurrent nonlinear processes in the same medium, which allows the generation of non-standard 3 and 4-mode couplings. We test the genuine nature of the multipartite entangled states thereby generated in a common framework, using both criteria based on proper bounds for the variances of nonlocal observables and on the positive partial transpose criterion. The relative simplicity of these states allows a (hopefully) useful comparison of the different inseparability tests.

Accepted for publication in Phys. Rev. A

References in corpus (12)

• Universal Quantum Computation with Continuous-Variable Cluster States
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
• Experimental generation of four-mode continuous-variable cluster states
• Distributed Quantum Sensing Using Continuous-Variable Multipartite Entanglement
• Building Gaussian Cluster States by Linear Optics
• Versatile photonic entanglement synthesizer in the spatial domain
• Spatial multipartite entanglement and localization of entanglement
• Golden Ratio entanglement in hexagonally poled nonlinear crystals
• Efficient parametric generation in a nonlinear photonic crystal pumped by a dual beam
• Hot-spots and gain enhancement in a doubly pumped parametric down-conversion process
• Engineering multipartite entangled states in doubly pumped parametric down-conversion processes