Unique decompositions, faces, and automorphisms of separable states
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Publication:5249510
DOI10.1063/1.3399808zbMath1310.81025arXiv0906.1761OpenAlexW3099463073MaRDI QIDQ5249510
Publication date: 6 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.1761
Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Convex sets and cones of operators (47L07) Quantum coherence, entanglement, quantum correlations (81P40) Quantum state spaces, operational and probabilistic concepts (81P16)
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Cites Work
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- Geometrical state theory, the von Neumann boundary, and duality of the \(C^*\)-algebras
- Unextendible product bases, uncompletable product bases and bound entanglement
- Separability of mixed states: necessary and sufficient conditions.
- Separability criterion and inseparable mixed states with positive partial transposition.
- Transformations of states in operator theory and dynamics
- Unitarity as preservation of entropy and entanglement in quantum systems
- The Schrödinger-HJW theorem
- Isometries of operator algebras
- Optimal ensemble length of mixed separable states
- Separable approximations of density matrices of composite quantum systems
- Separability of Mixed Quantum States: Linear Contractions and Permutation Criteria
- Generic local distinguishability and completely entangled subspaces
- Bipartite states of low rank are almost surely entangled
- Separability Criterion for Density Matrices
- Minimal entropy of states emerging from noisy quantum channels
- Qubit Entanglement Breaking Channels
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