2006/11/30 by Chang-shui Yu, Chi‐Shan Yu, H. S. Song +1 · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Cluster state #Generalization #Kronecker delta #Kronecker product #Mathematical analysis #Mathematics #Peres–Horodecki criterion #Physics #Product (mathematics) #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Qubit #Separable state #Statistical physics #quant-ph
paper · pdf · doi:10.1140/epjd/e2006-00267-y
published in The European Physical Journal D 42(1), 147-151 (Springer Science+Business Media) · 5 pages. To be published in Europ. J. D
arxiv created 2006/11/30 · openalex publication_date 2006/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, an intuitive approach is employed to generalize the full separability criterion of tripartite quantum states of qubits to the higher-dimensional systems (Phys. Rev. A 72, 022333 (2005)). A distinct characteristic of the present generalization is that less restrictive conditions are needed to characterize the properties of full separability. Furthermore, the formulation for pure states can be conveniently extended to the case of mixed states by utilizing the kronecker product approximate technique. As applications, we give the analytic approximation of the criterion for weakly mixed tripartite quantum states and investigate the full separability of some weakly mixed states.