Entanglement properties of positive operators with ranges in completely entangled subspaces
Quantum Physics
2014-12-16 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1409.5093,
title = {Entanglement properties of positive operators with ranges in completely entangled subspaces},
author = {R Sengupta and Arvind and Ajit Iqbal Singh},
journal= {arXiv preprint arXiv:1409.5093},
year = {2014}
}
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14 pages