Classical Statistical Mechanics Approach to Multipartite Entanglement
Quantum Physics
2015-03-13 v2 Statistical Mechanics
Abstract
We characterize the multipartite entanglement of a system of n qubits in terms of the distribution function of the bipartite purity over balanced bipartitions. We search for maximally multipartite entangled states, whose average purity is minimal, and recast this optimization problem into a problem of statistical mechanics, by introducing a cost function, a fictitious temperature and a partition function. By investigating the high-temperature expansion, we obtain the first three moments of the distribution. We find that the problem exhibits frustration.
Cite
@article{arxiv.1002.2592,
title = {Classical Statistical Mechanics Approach to Multipartite Entanglement},
author = {P. Facchi and G. Florio and U. Marzolino and G. Parisi and S. Pascazio},
journal= {arXiv preprint arXiv:1002.2592},
year = {2015}
}
Comments
38 pages, 10 figures, published version