Certification of high-dimensional entanglement and Einstein-Podolsky-Rosen steering with cold atomic quantum memory

Abstract

The advent of structured, high-dimensional entangled states brings new possibilities for quantum imaging, information processing and quantum key distribution. We experimentally generate and characterize a spatially entangled state stored in a quantum memory system, using entropic EPR-steering inequality, yielding genuine violation of $1.06\pm 0.15$ bits and certifying entanglement of formation of at least $0.70\pm 0.15$ ebits. The supremacy of the entropic witness is demonstrated for a wide class of experimentally available states, giving prospects for EPR-steering applications in noisy systems or with lossy quantum channels.

arXiv comment7 pages, 6 figures (with Supplemental Material)

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• Real-time ghost imaging of Bell-nonlocal entanglement between a photon and a quantum memory
• Transient dynamics of nonlinear magneto-optical rotation in the presence of transverse magnetic field
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Spectrum-to-position mapping via programmable spatial dispersion implemented in an optical quantum memory
• Certifying spatial entanglement between non-degenerate photon pairs with a camera
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