A Family of Indecomposable Positive Linear Maps based on Entangled Quantum States
Quantum Physics
2007-05-23 v3 Functional Analysis
Abstract
We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The construction lets us create indecomposable positive linear maps in matrix algebras of arbitrary high dimension.
Cite
@article{arxiv.quant-ph/9810091,
title = {A Family of Indecomposable Positive Linear Maps based on Entangled Quantum States},
author = {Barbara M. Terhal},
journal= {arXiv preprint arXiv:quant-ph/9810091},
year = {2007}
}
Comments
16 pages LaTex: updated and a derivation of a lower bound on epsilon is added and calculated for one of the examples. Submitted to Lin. Alg. and Its Appl