dorsal/arxiv
View SchemaDimensions of generic local orbits of multipartite quantum systems
| Authors | Dragomir Z. Djokovic |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608124 |
| URL | https://arxiv.org/abs/quant-ph/0608124 |
Abstract
We consider the action of the group of local unitary transformations, U(m) x U(n), on the set of (mixed) states W of the bipartite m x n quantum system. We prove that the generic U(m) x U(n)--orbits in W have dimension m^2+n^2-2. This problem was mentioned (and left open) by Kus and Zyczkowski in their paper Geometry of entangled states. The proof can be extended to the case of arbitrary finite-dimensional multipartite quantum systems.
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"abstract": "We consider the action of the group of local unitary transformations, U(m) x\nU(n), on the set of (mixed) states W of the bipartite m x n quantum system. We\nprove that the generic U(m) x U(n)--orbits in W have dimension m^2+n^2-2. This\nproblem was mentioned (and left open) by Kus and Zyczkowski in their paper\nGeometry of entangled states. The proof can be extended to the case of\narbitrary finite-dimensional multipartite quantum systems.",
"arxiv_id": "quant-ph/0608124",
"authors": [
"Dragomir Z. Djokovic"
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"title": "Dimensions of generic local orbits of multipartite quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0608124"
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