New tools for investigating positive maps in matrix algebras
Quantum Physics
2015-01-27 v1 Operator Algebras
Abstract
We provide a novel tool which may be used to construct new examples of positive maps in matrix algebras (or, equivalently, entanglement witnesses). It turns out that this can be used to prove positivity of several well known maps (such as reduction map, generalized reduction, Robertson map, and many others). Furthermore, we use it to construct a new family of linear maps and prove that they are positive, indecomposable and (nd)optimal.
Keywords
Cite
@article{arxiv.1204.6579,
title = {New tools for investigating positive maps in matrix algebras},
author = {Justyna Pytel Zwolak and Dariusz Chruściński},
journal= {arXiv preprint arXiv:1204.6579},
year = {2015}
}
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10 pages