2015/06/30 by Wenchao Ge, Mehmet Emre Taşgın, Mehmet Emre Tasgin +1
Computer Science · Mathematics · Physics and Astronomy · #Beam splitter #Computer science #Gaussian #Logarithm #Mathematical analysis #Mathematics #Mode (computer interface) #Multipartite entanglement #Negativity effect #Orbital Angular Momentum in Optics #Peres–Horodecki criterion #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Quantum optics and atomic interactions #Squashed entanglement #Statistical physics #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.92.052328
published as Phys. Rev. A 92, 052328 (2015) · 10 pages, 8 figures
arxiv created 2015/09/11 · openalex publication_date 2015/11/20 · arxiv updated 2015/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the relation between single-mode nonclassicality and two-mode entanglement in a beam splitter. We show that single-mode nonclassicality (the entanglement potential) of incident light cannot be transformed into two-mode entanglement completely after a single beam splitter. Some of the entanglement potential remains as single-mode nonclassicality in the two entangled output modes. Two-mode entanglement generated in the process can be equivalently quantified as an increase in the minimum uncertainty widths (or decrease in the squeezing) of the output states compared to the input states. We use the nonclassical depth and logarithmic negativity as single-mode nonclassicality and entanglement measures, respectively. We realize that a conservation relation between the two quantities can be adopted for Gaussian states, if one works in terms of uncertainty width. This conservation relation is extended to many sets of beam splitters.