Inequalities for the Schmidt number of bipartite states
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Publication:1986554
DOI10.1007/s11005-019-01244-1zbMath1450.15017arXiv1902.11069OpenAlexW2991107527WikidataQ126764157 ScholiaQ126764157MaRDI QIDQ1986554
Publication date: 8 April 2020
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.11069
Miscellaneous inequalities involving matrices (15A45) Quantum measurement theory, state operations, state preparations (81P15) Multilinear algebra, tensor calculus (15A69) Quantum coherence, entanglement, quantum correlations (81P40) Quantum state spaces, operational and probabilistic concepts (81P16)
Related Items (4)
Attainability and lower semi-continuity of the relative entropy of entanglement and variations on the theme ⋮ A factorization property of positive maps on C*-algebras ⋮ Schmidt rank constraints in quantum information theory ⋮ Compositions and tensor products of linear maps between matrix algebras
Cites Work
- All 2-positive linear maps from \(M_3(\mathbb{C})\) to \(M_3(\mathbb{C})\) are decomposable
- Rank two bipartite bound entangled states do not exist
- Classical complexity and quantum entanglement
- Separability of mixed states: necessary and sufficient conditions.
- A gap for PPT entanglement
- Schmidt number of bipartite and multipartite states under local projections
- The Schmidt number as a universal entanglement measure
- Classical deterministic complexity of Edmonds' Problem and quantum entanglement
- Separability Criterion for Density Matrices
- Ranks and eigenvalues of states with prescribed reduced states
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