Entanglement and the truncated moment problem
Quantum Physics
2017-09-20 v1
Abstract
We map the quantum entanglement problem onto the mathematically well-studied truncated moment problem. This yields a necessary and sufficient condition for separability that can be checked by a hierarchy of semi-definite programs. The algorithm always gives a certificate of entanglement if the state is entangled. If the state is separable, typically a certificate of separability is obtained in a finite number of steps and an explicit decomposition into separable pure states can be extracted.
Cite
@article{arxiv.1704.02277,
title = {Entanglement and the truncated moment problem},
author = {Fabian Bohnet-Waldraff and Daniel Braun and Olivier Giraud},
journal= {arXiv preprint arXiv:1704.02277},
year = {2017}
}
Comments
13 pages