Broken Symmetries in the Entanglement of Formation
Quantum Physics
2009-11-07 v1
Abstract
We compare some recent computations of the entanglement of formation in quantum information theory and of the entropy of a subalgebra in quantum ergodic theory. Both notions require optimization over decompositions of quantum states. We show that both functionals are strongly related for some highly symmetric density matrices. We discuss the presence of broken symmetries in relation with the structure of the optimal decompositions.
Keywords
Cite
@article{arxiv.quant-ph/0209081,
title = {Broken Symmetries in the Entanglement of Formation},
author = {F. Benatti and H. Narnhofer and A. Uhlmann},
journal= {arXiv preprint arXiv:quant-ph/0209081},
year = {2009}
}
Comments
21 pages, LateX, no figures