Separability of rank two quantum states on multiple quantum spaces

Abstract

Explicit sufficient and necessary conditions for separability of $N$-dimensional rank two multiparty quantum mixed states are presented. A nonseparability inequality is also given, for the case where one of the eigenvectors corresponding to nonzero eigenvalues of the density matrix is maximally entangled.

10 pages, Latex

References in corpus (3)

• A Note on Invariants and Entanglements
• Separability of Rank Two Quantum States
• Recent Results in Trapped-Ion Quantum Computing

Cited by in corpus (12)

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• Entanglement of Formation for a Class of Quantum States
• A Note on Entanglement of Formation and Generalized Concurrence
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• Separability and Entanglement of Quantum States Based on Covariance Matrices
• Separability and entanglement in 2x3xN composite quantum systems
• Bounds for multipartite concurrence
• Sufficient and Necessary Condition of Separability for Generalized Werner States
• Hermitian Tensor Product Approximation of Complex Matrices and Separability
• Differential Geometry of Bipartite Quantum States
• Separability and Entanglement of Identical Bosonic Systems
• A Complete Set of Local Invariants for a Family of Multipartite Mixed States