Entanglement-fluctuation relation for bipartite pure states
Quantum Physics
2016-08-24 v3 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
We identify subsystem fluctuations (variances) that measure entanglement in an arbitrary bipartite pure state. These fluctuations are of observables that generalize the notion of polarization to an arbitrary N-level subsystem. We express this polarization fluctuation in terms of subsystem purity and other entanglement measures. The derived fluctuation-entanglement relation is evaluated for the ground states of a one-dimensional free fermion gas and the Affleck-Kennedy-Lieb-Tasaki spin chain. Our results provide a framework for experimentally measuring entanglement using Stern-Gerlach-type state selectors.
Keywords
Cite
@article{arxiv.1512.05551,
title = {Entanglement-fluctuation relation for bipartite pure states},
author = {Aura Mae B. Villaruel and Francis N. C. Paraan},
journal= {arXiv preprint arXiv:1512.05551},
year = {2016}
}
Comments
7 pages, 1 figure. Revisions, corrections, title change made. References updated. New example added