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Entropic Entanglement Criteria for Continuous Variables

2009/09/01 by S. P. Walborn, Bruno G. Taketani, B. G. Taketani +4 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physrevlett.103.160505

4 pages, 2 figures

arxiv created 2009/09/01 · openalex publication_date 2009/10/15 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive several entanglement criteria for bipartite continuous variable quantum systems based on the Shannon entropy. These criteria are more sensitive than those involving only second-order moments, and are equivalent to well-known variance product tests in the case of Gaussian states. Furthermore, they involve only a pair of quadrature measurements, and will thus prove extremely useful in the experimental identification of entanglement.

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