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arXiv · 1409.5093

Entanglement properties of positive operators with ranges in completely entangled subspaces

R Sengupta·Arvind·Ajit Iqbal Singh
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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.

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R Sengupta, Arvind, Ajit Iqbal Singh. 2014-09-17. Entanglement properties of positive operators with ranges in completely entangled subspaces. https://doi.org/10.1103/physreva.90.062323

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