Multipartite Entanglement and Frustration
Quantum Physics
2011-05-10 v1 Statistical Mechanics
Abstract
Some features of the global entanglement of a composed quantum system can be quantified in terms of the purity of a balanced bipartition, made up of half of its subsystems. For the given bipartition, purity can always be minimized by taking a suitable (pure) state. When many bipartitions are considered, the requirement that purity be minimal for all bipartitions can engender conflicts and frustration arises. This unearths an interesting link between frustration and multipartite entanglement, defined as the average purity over all (balanced) bipartitions.
Cite
@article{arxiv.0910.3134,
title = {Multipartite Entanglement and Frustration},
author = {P. Facchi and G. Florio and U. Marzolino and G. Parisi and S. Pascazio},
journal= {arXiv preprint arXiv:0910.3134},
year = {2011}
}
Comments
15 pages, 7 figures