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Testing for entanglement with periodic coarse graining

2015/06/30 by D. S. Tasca, Daniel S. Tasca, Łukasz Rudnicki +6
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Continuous variable #Hilbert space #Mathematics #Orbital Angular Momentum in Optics #Photon #Photon entanglement #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistical physics #Statistics #physics.optics #quant-ph

paper · pdf · doi:10.1103/physreva.97.042312

published as Phys. Rev. A 97, 042312 (2018) · V1: revtex4, 10 pages, 4 figures + supp. material (4 pages, 1 figure) V2: Substantial revisions implemented both in theory and experimental data analysis

arxiv created 2018/02/06 · openalex publication_date 2018/04/09 · arxiv updated 2018/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Continuous-variable systems find valuable applications in quantum information processing. To deal with an infinite-dimensional Hilbert space, one in general has to handle large numbers of discretized measurements in tasks such as entanglement detection. Here we employ the continuous transverse spatial variables of photon pairs to experimentally demonstrate entanglement criteria based on a periodic structure of coarse-grained measurements. The periodization of the measurements allows an efficient evaluation of entanglement using spatial masks acting as mode analyzers over the entire transverse field distribution of the photons and without the need to reconstruct the probability densities of the conjugate continuous variables. Our experimental results demonstrate the utility of the derived criteria with a success rate in entanglement detection of \ensuremath∼60% relative to 7344 studied cases.

Citations