2021/04/30 by Anaelle Hertz, Matthieu Arnhem, Ali Asadian +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Continuous variable #Filtration (mathematics) #Focus (optics) #Gaussian #Homodyne detection #Mathematical analysis #Mathematical optimization #Mathematics #Optics #Physics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistics #Variable (mathematics) #quant-ph
paper · pdf · doi:10.1103/physreva.104.022427
published as Phys. Rev. A 104, 022427 (2021) · Minor corrections in v2 to match the published version of the paper
openalex created_date 2021/04/26 · arxiv created 2021/08/23 · openalex publication_date 2021/08/23 · arxiv updated 2021/08/24 · openalex updated_date 2026/08/05
We introduce a weak form of the realignment separability criterion which is particularly suited to detect continuous-variable entanglement and is physically implementable (it requires linear optics transformations and homodyne detection). Moreover, we define a family of states, called Schmidt-symmetric states, for which the weak realignment criterion reduces to the original formulation of the realignment criterion, making it even more valuable as it is easily computable especially in higher dimensions. Then, we focus in particular on Gaussian states and introduce a filtration procedure based on noiseless amplification or attenuation, which enhances the entanglement detection sensitivity. In some specific examples, it does even better than the original realignment criterion.