A tensor product matrix approximation problem in quantum physics
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Publication:861038
DOI10.1016/j.laa.2006.08.026zbMath1118.15027OpenAlexW2071000534MaRDI QIDQ861038
Jon Magne Leinaas, Geir Dahl, Eirik Ovrum, Jan Myrheim
Publication date: 9 January 2007
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10852/10532
algorithmnumerical examplesconvex setsdensity matrixpositive semidefiniteentanglementtensor productmatrix approximation
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Entanglement measures and the Hilbert-Schmidt distance
- Thevenin decomposition and large-scale optimization
- Classical deterministic complexity of Edmonds' Problem and quantum entanglement
- On the geometry of entangled states
- Separability Criterion for Density Matrices
- Separability of \(n\)-particle mixed states: necessary and sufficient conditions in terms of linear maps
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