Determination of Continuous Variable Entanglement by Purity Measurements

2003/10/31 by Gerardo Adesso, Alessio Serafini, Fabrizio Illuminati · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Continuous variable #Gaussian #Mathematical analysis #Mathematics #Mode (computer interface) #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Squashed entanglement #Statistical physics #Statistics #Variable (mathematics) #cond-mat #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physrevlett.92.087901

published as Phys.Rev.Lett. 92 (2004) 087901 · 4 pages, 3 EPS figures. Final version

arxiv created 2004/02/25 · openalex publication_date 2004/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We classify the entanglement of two-mode Gaussian states according to their degree of total and partial mixedness. We derive exact bounds that determine maximally and minimally entangled states for fixed global and marginal purities. This characterization allows for an experimentally reliable estimate of continuous variable entanglement based on measurements of purity.

Citations

• Characterizing entanglement with global and marginal entropic measures
• Inseparability Criterion for Continuous Variable Systems
• Peres-Horodecki Separability Criterion for Continuous Variable Systems

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