Entanglement properties of positive operators with ranges in completely entangled subspaces
arXiv:1409.5093 · doi:10.1103/PhysRevA.90.062323
Abstract
We prove that the projection on a completely entangled subspace S of maximum dimension in a multipartite quantum system obtained by Parthasarathy is not positive under partial transpose. We next show that several positive operators with range in S also have the same property. In this process we construct an orthonormal basis of S and provide a linking theorem to link the constructions of completely entangled subspaces due to Parthasarthy, Bhat and Johnston.
arXiv comment14 pages
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