Nullspaces of Entanglement Breaking Channels and Applications
Quantum Physics
2020-08-03 v1 Operator Algebras
Abstract
We investigate the nullspace structures of entanglement breaking channels, and related applications. We show that every operator space of trace zero matrices is the nullspace of an entanglement breaking channel. We derive a test for mixed unitarity of quantum channels based on complementary channel behaviour and entanglement breaking channel nullspaces. We identify conditions that guarantee the existence of private algebras for certain classes of entanglement breaking channels.
Keywords
Cite
@article{arxiv.2007.15893,
title = {Nullspaces of Entanglement Breaking Channels and Applications},
author = {D. W. Kribs and J. Levick and K. Olfert and R. Pereira and M. Rahaman},
journal= {arXiv preprint arXiv:2007.15893},
year = {2020}
}
Comments
18 pages