paper

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.

14 pages

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