2007/01/18 by Gabriel F. Calvo, G. F. Calvo, Antonio Picó +3 · 24 citations
Computer Science · Engineering · Physics and Astronomy · #Angular momentum #Azimuth #Coincidence #Coincidence counting #Degrees of freedom (physics and chemistry) #Optical Polarization and Ellipsometry #Optics #Orbital Angular Momentum in Optics #Photon #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Spontaneous parametric down-conversion #Transverse plane #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.75.012319
published in Physical Review A 75(1) (American Physical Society) · Extended paper of a published version in PRA, with some extra appendices
openalex publication_date 2007/01/18 · arxiv created 2007/04/13 · arxiv updated 2011/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We put forward an approach to estimate the amount of bipartite spatial entanglement of down-converted photon states correlated in orbital angular momentum and the magnitude of the transverse (radial) wave vectors. Both degrees of freedom are properly considered in our framework, which only requires azimuthal local linear optical transformations and mode selection analysis with two fiber detectors. The coincidence distributions predicted by our approach give an excellent fit to the distributions measured in a recent experiment aimed to show the very high-dimensional transverse entanglement of twin photons from a down-conversion source. Our estimate for the Schmidt number is substantially lower but still confirms the presence of high-dimensional entanglement.