Separability of Rank Two Quantum States
arXiv:quant-ph/0109089 · doi:10.1016/S0375-9601(01)00413-3
Abstract
Explicit sufficient and necessary conditions for separability of higher dimensional quantum systems with rank two density matrices are given. A nonseparability inequality is also presented, for the case where one of the eigenvectors corresponding to nonzero eigenvalues is a maximally entangled state.
Latex, 11 pages
References in corpus (1)
Cited by in corpus (21)
- A Note on Invariants and Entanglements
- The generalized partial transposition criterion for separability of multipartite quantum states
- Generalized reduction criterion for separability of quantum states
- Nonlocal Properties and Local Invariants for Bipartite Systems
- Entanglement of Formation for a Class of Quantum States
- A Note on Entanglement of Formation and Generalized Concurrence
- A Class of Special Matrices and Quantum Entanglement
- Multipartite states under local unitary transformations
- Separability of rank two quantum states on multiple quantum spaces
- Separability and Entanglement of Quantum States Based on Covariance Matrices
- Separability and entanglement in 2x3xN composite quantum systems
- Bounds for multipartite concurrence
- Hermitian Tensor Product Approximation of Complex Matrices and Separability
- Factorization and Entanglement in Quantum Systems
- Sufficient and Necessary Condition of Separability for Generalized Werner States
- A Note on Quantum Entanglement and PPT
- Classical and Quantum Causality in Quantum Field Theory. Or, "The Quantum Universe"
- Computing finite-dimensional bipartite quantum separability
- Separability and Entanglement of Identical Bosonic Systems
- Differential Geometry of Bipartite Quantum States
- Separable State Decompositions for a Class of Mixed States