From single-particle physical distributions to probabilistic measures of two-particle entanglement
Quantum Physics
2017-01-31 v1
Abstract
An inversion method is formulated for extracting entanglement-related information on two-particle interactions in a one-dimensional system from measurable one-particle position- and momentum-distribution functions. The method is based on a shell-like expansion of these norm-1 measured quantities in terms of product states taken from a parametric orthonormal complete set. The mathematical constraints deduced from these point-wise expansions are restricted by the underlying physics of our harmonically confined and interacting Heisenberg model. Based on these exact results, we introduce an approximate optimization scheme for different inter-particle interactions and discuss it from the point of view of entropic correlation measures.
Keywords
Cite
@article{arxiv.1701.08525,
title = {From single-particle physical distributions to probabilistic measures of two-particle entanglement},
author = {I. Nagy and M. L. Glasser},
journal= {arXiv preprint arXiv:1701.08525},
year = {2017}
}