Multipartite generalization of the Schmidt decomposition
By H. Carteret, A. Higuchi, A. Sudbery. 2000
139 citations recorded by the source corpus.
We find a canonical form for pure states of a general multipartite system, in which the constraints on the coordinates (with respect to a factorizable orthonormal basis) are simply that certain ones vanish and certain others are real. For identical particles they are invariant under permutations of the particles. As an application, we find the dimension of the generic local equivalence class.
Subfields: Algebra and Number Theory, Artificial Intelligence, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9a03bac33db442c9c6e784afc6cba2204aea03b3
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In Algebra and Number Theory
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Citations in the corpus
- Normal forms and entanglement measures for multipartite quantum states (2001, background): “[17]), which is a weak generalization of the SVD:”
- Multiphoton entanglement and interferometry (2008, methodology): “A Generalization of Schmidt decomposition to more than two subsystems is not straightforward [see (Carteret, Higuchi, and Sudbery, 2000)].”
- Black Holes, Qubits and Octonions (2008, background): “3 and [75, 72, 77, 71, 114, 78] for more details.”
- Geometry of Quantum States: Index (2007, methodology): “(For K quNits we can set K ·N(N−1)/2 components to zero [194].”