2006/03/15 by Hoshang Heydari · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computer science #Concurrence #Construct (python library) #Mathematical analysis #Mathematics #Measure (data warehouse) #Multipartite #Multipartite entanglement #Nonlinear Waves and Solitons #Physics #Polynomial #Polynomial and algebraic computation #Pure mathematics #Quadric #Quantum #Quantum entanglement #Quantum mechanics #Squashed entanglement #Statistics #Variety (cybernetics) #quant-ph
paper · pdf · doi:10.1088/0305-4470/39/31/013
published as J. Phys. A: Math. Gen. 39 (2006) 9839-9844 · 5 pages
arxiv created 2006/03/15 · openalex publication_date 2006/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We construct a measure of entanglement by generalizing the quadric polynomial of the Segre variety for general multipartite states. This measure of entanglement works for any pure state and vanishes on multipartite product states. We give explicit expressions for general pure three-partite and four-partite states, and compare our measure of entanglement with the generalized concurrence.