2007/03/26 by R. G. Unanyan, Hermann Kampermann, H. Kampermann +2 · 1 citation
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Chemistry #Decomposition #Dimension (graph theory) #Geometry #Mathematical analysis #Mathematics #Physics #Product (mathematics) #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum optics and atomic interactions #Range (aeronautics) #Regular polygon #Separable space #Separable state #quant-ph
paper · pdf · doi:10.1088/1751-8113/40/24/f07
published as J. Phys. A, 40: F483 (2007) · 7 pages, 1 figures
arxiv created 2007/03/26 · openalex publication_date 2007/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive an integral convex combination of product states for a range of separable Werner states. Our method consists of expanding the sought-after local density operators in terms of Wigner operators. For dimension d = 2, our decomposition holds for the whole separable range of Werner states, while for d > 2 it is valid for a subset of separable Werner states. We illustrate the general method with the explicit examples d = 2 and d = 3.